I just built my first gaming pc with a budget very close to yours 750$ and i can say that it would be more rewarding if you researched how to assemble it yourself besides researching how everything goes together and what is compatible. Anyway ill share my knowledge on the generals of building.
To find out how big of a psu you need, simple use newegg and when looking at the video card you want click on the specs tab and scroll down and it will say "450 watt psu or higher recommended" Always buy a higher wattage than what is recommended but you dont have to go 700 watts if it recommends 400 watts. Also watch out for how many amps on the 12 volt rail your video card needs. Some PSU's have high wattage but garbage amps like 18 amps on the 12+ rail. Lastly make sure the psu says something like 650 watts continuous at 50c. If it does not have a constant celcious that means when your psu gets too hot it will not deliver the watts advertised.
Onto the MOBO and CPU. Make sure you buy a MOBO that has the right socket for your CPU. Ie LGA 1150 socket for a 4th gen haswell i5 i7 etc. Dont buy a LGA 1155 MOBO and buy a CPU that wants a LGA 1150 socket. Also buy a water cooler for your cpu if you will overclock it. A closed loop water cooler is easy to install and works well.
For the ram just go with G.skill of Kingston. The G.Skill ripjaws is a good set and make sure its as low latency as you can get. Once you have your MOBO picked out just go onto thier website and look for supported RAM.
If you can fit it into your budget buy a SSD to load your copy of windows onto. It will work much better than having your windows on a harddrive.
As for the case dont spend a fortune. I bought a NZXT mid tower case that easily fit a GTX 660 SC with plenty of room to spare for 40$ on new egg.
Well to end it i will copy and paste my gaming build that is right in your budget. I was a first timer like you and i built it with no problems in a few hours because i spent over a month researching and educating myself on the world of pc building
G.SKILL Ripjaws Series 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1333 (PC3 10666) Desktop Memory Model F3-10666CL7D-4GBRH
NZXT Tempest 210 CA-TP210-01 Black Steel / Plastic ATX Mid Tower Computer Case
Intel Core i5-4670K Haswell 3.4GHz LGA 1150 84W Quad-Core Desktop Processor Intel HD Graphics BX80646I54670K
MSI Z87-G45 Gaming LGA 1150 Intel Z87 HDMI SATA 6Gb/s USB 3.0 ATX Pro Gaming with Killer Networking & Sound Blaster Intel Motherboard
ARCTIC MX-2 (4g) Carbon-Based Thermal Compound, Non-Electricity Conductive, Non-Capacitive
Cooler Master Seidon 120M - Liquid CPU Water Cooling System with 120 mm Radiator and One Fan
EVGA 02G-P4-2663-KR GeForce GTX 660 FTW Signature 2 2GB 192-bit GDDR5 PCI Express 3.0 x16 HDCP Ready SLI Support Video Card
Rosewill CAPSTONE-650 650W Continuous @ 50°C, Intel Haswell Ready, 80 PLUS GOLD, ATX12V v2.31 & EPS12V v2.92, SLI/CrossFire Ready, Active PFC Power Supply