This is an OK gaming rig. Should be good all around system.
I do not like the "FX-Series FX-4100" CPU for gaming, so would not personally want to buy this and be looking a replacing the CPU/MB in a few years. However it will do fine. http://www.tomshardware.com/reviews/gaming-fx-pentium-apu-benchmark,3120.html
An I3-2100 based build would let you drop in an I5 in the same MB if you ever need more CPU. IF you get an I3 or i5 make sure there are four digits in the name. For example, I3-550 BAD, I3-2120 GOOD. You want sandy bridge not older clarkdale parts.
The HD6770 is a very solid gaming card. Better then most card put in $600 builds.
If you go barebones then add in $100 for windows (unless you get student discount). It'll give you more control on parts, but probably not save you money.