Will my computer build work? (never built one before)

So sound like a gamer, what is your budget and do you want a graphics card?

Sorry for the late answer,

my suggestion:

PCPartPicker part list: http://pcpartpicker.com/p/3MVe3
Price breakdown by merchant: http://pcpartpicker.com/p/3MVe3/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3MVe3/benchmarks/

CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($227.94 @ SuperBiiz)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($34.98 @ SuperBiiz)
Motherboard: ASRock Z87 Extreme4 ATX LGA1150 Motherboard ($124.99 @ Newegg)
Memory: G.Skill Ripjaws Z Series 8GB (2 x 4GB) DDR3-2400 Memory ($84.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.43 @ OutletPC)
Video Card: MSI GeForce GTX 770 2GB TWIN FROZR Video Card ($314.99 @ Amazon)
Case: BitFenix Shinobi Window ATX Mid Tower Case ($69.99 @ Newegg)
Power Supply: XFX ProSeries 750W 80+ Gold Certified Fully-Modular ATX Power Supply ($94.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($19.98 @ OutletPC)
Case Fan: BitFenix Spectre Pro LED 56.2 CFM 120mm Fan ($12.77 @ NCIX US)
Case Fan: Noctua NF-F12 PWM 55.0 CFM 120mm Fan ($14.99 @ NCIX US)
Case Fan: Noctua NF-F12 PWM 55.0 CFM 120mm Fan ($14.99 @ NCIX US)
Case Fan: Noctua NF-F12 PWM 55.0 CFM 120mm Fan ($14.99 @ NCIX US)
Total: $1078.03
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-05-19 10:14 EDT-0400)

For the motherboard the ASrock Z87 Extreme 4 has very good price quality and overclocking results.
I would not recommend dual Gtx 770 as it is a bit of overkill for a single monitor, also single cards are preferred over SLI.
Gtx 780 is more then enough and even a Gtx 770 will do, but if you want it to be very future-proof go with the Gtx 780 otherwise one Gtx 770 is enough for now. You can always add another card later for SLI.
For gaming 8Gb memory is enough.
And talking about the cooler, it is a very good cooler, but if are only going to overclock to 4-4.2Ghz the Hyper 212 EVO is more then enough, infact it is sufficient til 4.5GHz which is about the max you can OC your i5 4670K on this motherboard.
The power supply needs to be good quality when you want to overclock, and for the cable management a modular one allows for better cable management and thus better airflow in your case.

Are you going to game a singe monitor and on what resolution?

I will post an updated build later today, as I don't have much time at the moment sorry for that.
About the graphics card 2 Gtx 770 is indeed very good and matches the performance of the Titan, but this will be a lot of overkill on a single 1080P monitor, if you plan on buying two or even three monitors then it would be more adequate.

http://www.guru3d.com/articles_pages/geforce_gtx_770_sli_review,23.html

I understand you want the best that is possible for your budget, but you can also save a bit of money now and but a $300/400 dollar graphics card which is more then enough for now and buy another next year when you start to need the extra performance. Do you really need that super high performance now? And I don't want to discourage you, I just want to know how important it is for you

Do you need to buy a monitor, keyboard and mouse, or do you already have those so I can include them in the build.
I will post an update as soon as possible!

The PSU has four PCI-E (6P/8P) power connectors so you don't need to buy extra, it is SLI ready.
FOr the fans if they are the same type I think you can plug them in the same fan header using a y-cable but i never tried it.
http://www.noctua.at/pdf/manuals/noctua_nf_f12_manual_en.pdf
According to this manual the y-cable is included, but I am not sure.

For the max safe i5 4670K temperature, it is 72.72°C. So make sure you won't go over it when overclocking. It can take more, but then you risk damage so anything under 72.72°C is safe.
And you will be able to OC to 4.5 GHz maybe more just see if it remains stable and the temp stays under 72.72°C.
http://www.overclockers.com/3step-guide-to-overclock-intel-haswell

No problem, I hope you will enjoy it and good luck building it!