is this a good choice?

DEFINITELY not worth the money.
I'll post a list of parts, get them together and bring them to your local PC store and ask them to assemble the PC.
The one you've listed is an absolute ripoff.

Yes. Easily.

id just add a 120 or 250gb SSD to chugalug's build and itd be perfect

if you dont already have... youd need a mouse, keyboard, monitor, copy of windows, and if youre gonna go wireless, a wireless card/usb adapter of some sort

Aaah, left windows out of my budgeting.
I'll edit it.
A monitor isn't going to fit into that budget if you want a good gaming rig though, going to mean some severe compromises.

Ryaanlaad you may need to stretch your budget another $30 in order to accomodate for the build costs, but should be pretty easy to get to!
Hard to fit in an SSD in that price range considering windows, keyboard, building cost and wireless also need to be put in.
When it comes down to it, essentially a $700 build, a little low to fit in an SSD if there is an i5 and RX480 unfortunately.
I could put in an i3, but an i5 is more stable, offers stronger performance and is more futureproof, whereas the i3 pretty much maxes out on an RX480 and struggles in more CPU bound titles.
PCPartPicker part list: http://pcpartpicker.com/list/W7X8M8
Price breakdown by merchant: http://pcpartpicker.com/list/W7X8M8/by_merchant/

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($198.99 @ SuperBiiz)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($35.00)
Motherboard: Asus H110M-A/M.2 Micro ATX LGA1151 Motherboard ($52.99 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($67.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte Radeon RX 480 8GB Video Card ($239.99 @ SuperBiiz)
Case: Cooler Master N200 MicroATX Mid Tower Case ($36.98 @ Newegg)
Power Supply: SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply ($58.99 @ SuperBiiz)
Operating System: Microsoft Windows 10 Home OEM 64-bit ($85.89 @ OutletPC)
Wireless Network Adapter: Gigabyte GC-WB867D-I PCI-Express x1 802.11a/b/g/n/ac Wi-Fi Adapter ($29.99 @ SuperBiiz)
Keyboard: Cooler Master CM Storm Devastator Gaming Bundle Wired Gaming Keyboard w/Optical Mouse ($19.99 @ Newegg)
Total: $874.29
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-08-04 08:37 EDT-0400

The standard for monitors is 1080p 60Hz, meaning it will show 60 frames every second at a resolution of 1080p.
There are more expensive gaming monitors starting at around $200 that show 144 frames a second, and are VERY good for builds that can push higher frame rates.
Your build for example would benefit from a 144hz monitor if you played games like League or CS:GO where frame rate is very important. For casual gaming however, you will be perfectly fine on 1080p 60hz.
If you were to buy a monitor, what would be your budget for that?
Because the build I've listed currently is probably in the best value price range, meaning if I were to add a monitor into that budget, you would have poor performance for the price.

that build he posted is pretty dam solid for that price! you can find a refurb 22" 1080 monitor on ebay for around 120$ (1000) and then if you dont mind an extra 50 you can get a 250 SSD. for a total of around 1050$ if you built it yourself or i guess 1150 at a shop? no idea build costs.

SSD's let you load stuff faster. so your computer will turn on quicker, programs will open faster. it will NOT however improve gaming performance. The graphics will not get better, the game wont play smoother. its kind of one of those things where if you dont have one... youre not missing anything, but after you get one you cant go back.

Everything else will work just fine.
What would be your budget all up for the build?
I was kind of just basing it off the prebuilt you posted.

So this is how it is.
You have two options, you can go all out for a GTX 1080 build, or you can go for the better build imo, the GTX 1070 build with an SSD.
The 1080 is a bit of a waste at 1080p, and is better suited to 1440p 144hz instead, but just thought i'd throw the options out there.
Note that the G1 Gaming 1070 is also the same price as the EVGA ACX 3.0 1070, so pick whichever you best like the look of!
EDIT: Forgot to include crucial criteria of OP's build because i'm an absolute dropkick.
[strike]PCPartPicker part list: http://pcpartpicker.com/list/2gnzNN
Price breakdown by merchant: http://pcpartpicker.com/list/2gnzNN/by_merchant/

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($198.99 @ SuperBiiz)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($35.00)
Motherboard: Gigabyte GA-H170-GAMING 3 ATX LGA1151 Motherboard ($87.98 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($67.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1080 8GB G1 Gaming Video Card ($629.99 @ SuperBiiz)
Case: NZXT S340 (Black/Red) ATX Mid Tower Case ($64.99 @ SuperBiiz)
Power Supply: Corsair RMx 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($79.99 @ Newegg)
Monitor: Asus VG248QE 24.0" 144Hz Monitor ($249.99 @ Best Buy)
Total: $1462.41
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-08-04 09:25 EDT-0400


1070 build:
PCPartPicker part list: http://pcpartpicker.com/list/bBqtpb
Price breakdown by merchant: http://pcpartpicker.com/list/bBqtpb/by_merchant/

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($198.99 @ SuperBiiz)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($35.00)
Motherboard: Gigabyte GA-H170-GAMING 3 ATX LGA1151 Motherboard ($87.98 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($67.99 @ Newegg)
Storage: Samsung 850 EVO-Series 250GB 2.5" Solid State Drive ($88.49 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1070 8GB G1 Gaming Video Card ($429.99 @ B&H)
Case: NZXT S340 (Black/Red) ATX Mid Tower Case ($64.99 @ SuperBiiz)
Power Supply: SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply ($58.99 @ SuperBiiz)
Monitor: Asus VG248QE 24.0" 144Hz Monitor ($249.99 @ Best Buy)
Total: $1329.90
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-08-04 09:24 EDT-0400[/strike]

Oooh, erm, kind of started the builds based on what you said earlier around 1400 and forgot to accomodate for everything else! I'll change it now.

Chucking in a 144hz monitor and SSD costs about $330 added on, so a little over what you asked for, but probably the best value anyway.
PCPartPicker part list: http://pcpartpicker.com/list/2fp6RG
Price breakdown by merchant: http://pcpartpicker.com/list/2fp6RG/by_merchant/

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($198.99 @ SuperBiiz)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($35.00)
Motherboard: Gigabyte GA-H170-GAMING 3 ATX LGA1151 Motherboard ($87.98 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($67.99 @ Newegg)
Storage: Sandisk SSD PLUS 240GB 2.5" Solid State Drive ($69.99 @ B&H)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte Radeon RX 480 8GB Video Card ($239.99 @ SuperBiiz)
Case: NZXT S340 (Black/Red) ATX Mid Tower Case ($64.99 @ SuperBiiz)
Power Supply: SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply ($58.99 @ SuperBiiz)
Operating System: Microsoft Windows 10 Home OEM 64-bit ($85.89 @ OutletPC)
Wireless Network Adapter: Gigabyte GC-WB867D-I PCI-Express x1 802.11a/b/g/n/ac Wi-Fi Adapter ($29.99 @ SuperBiiz)
Monitor: Asus VG248QE 24.0" 144Hz Monitor ($249.99 @ Best Buy)
Keyboard: Cooler Master CM Storm Devastator Gaming Bundle Wired Gaming Keyboard w/Optical Mouse ($19.99 @ Newegg)
Total: $1257.27
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-08-04 09:32 EDT-0400

After you make this build, you'll want to invest in a mechanical keyboard and a good mouse.
The CM Storm is a decent enough replacement in the meantime.
What you want to look for is Cherry MX Blue switches in terms of keyboards, and a reputable brand like Corsair, Razer or Logitech.
In terms of mice the Razer Deathadder Chroma is very good, and i've been using it for about a year with nothing but good things to say.
Another good mouse is the Corsair Sabre, which is good quality and not too heavy in my use. This is also a bargain at the moment for just $40, so I think you should definitely pick it up ASAP, perhaps even skip out on the CM storm bundle and get this, using a basic logitech keyboard in the meantime.
Good all rounder mouse with a stunning price, making it the best choice of the three imo.

I personally don't like logitech mice because of the weird finger rest they have, but a personal thing I guess. I've listed the Logitech 502 due to it's popularity, but its a choice for you to make.

Most of the keyboards come down to visuals and build quality.
Corsair come first in this category, Razer second, Logitech third and Turtlebeach last.

The Turtlebeach Impact 500 is a very basic mechanical keyboard, with a clean black layout.
Nothing much to say here, gets the job done with the same key switches as the other models, and is well priced.
Good if you want to save a bit of money but still want the mechanical keyboard experience.
Here is an example with several options listed in your price range:
http://pcpartpicker.com/list/hjWk6X