It will bottleneck it just as much, and as little as any other video card, because they basically have nothing to do with one another. Your video card determines what graphical settings you can get, while your CPU caps your maximum framerate.
EDIT: That said, FX-6300 is a weak CPU by today's standards but it's not awful. There are some games that will run poorly, but the vast majority should run alright. I rarely recommend it (it's 4 years old now!), but there are circumstances where it can make sense.