Will this Pc build run GTA V

Solution
It will work, but probably on Med/Low settings at 1080p. If you want a bit better gaming build, I would opt for this:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($183.98 @ Amazon)
Motherboard: ASRock H97M PRO4 Micro ATX LGA1150 Motherboard ($62.98 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1866 Memory ($41.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.99 @ Newegg)
Video Card: EVGA GeForce GTX 960 4GB Superclocked Video Card ($199.99 @ Newegg)
Case: Cooler Master N200 MicroATX Mid Tower Case ($44.99 @ NCIX...
It will work, but probably on Med/Low settings at 1080p. If you want a bit better gaming build, I would opt for this:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($183.98 @ Amazon)
Motherboard: ASRock H97M PRO4 Micro ATX LGA1150 Motherboard ($62.98 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1866 Memory ($41.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.99 @ Newegg)
Video Card: EVGA GeForce GTX 960 4GB Superclocked Video Card ($199.99 @ Newegg)
Case: Cooler Master N200 MicroATX Mid Tower Case ($44.99 @ NCIX US)
Power Supply: XFX Core Edition 650W 80+ Bronze Certified ATX Power Supply ($50.98 @ Newegg)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($18.99 @ Amazon)
Total: $656.89
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-10-17 18:03 EDT-0400

* CPU is plenty for 99% of tasks for most people and costs less.
* GPU is better than a GTX 950 and has 4 gb's of VRAM, which can possibly help out in a year or two when games require more than 2 gb's of RAM (might not make much difference now, but could help out later).
* RAM is good and is cheaper.
* Case is a good solid one and is cheaper w/o sacrificing quality/options, IMHO.
* PSU is a good option and is also cheaper.

It is up to you, but the build above is a better gaming system over the one you selected.

If you can afford more GPU power, then here is same build with upgrade to GTX 970:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($183.98 @ Amazon)
Motherboard: ASRock H97M PRO4 Micro ATX LGA1150 Motherboard ($62.98 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1866 Memory ($41.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($52.99 @ Newegg)
Video Card: EVGA GeForce GTX 970 4GB Superclocked ACX 2.0 Video Card ($307.99 @ NCIX US)
Case: Cooler Master N200 MicroATX Mid Tower Case ($44.99 @ NCIX US)
Power Supply: XFX Core Edition 650W 80+ Bronze Certified ATX Power Supply ($50.98 @ Newegg)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($18.99 @ Amazon)
Total: $764.89
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-10-17 18:02 EDT-0400
 
Solution