No one can answer this for certain because we know nothing about the performance requirements for GTA 5 yet, especially as it hasn't been confirmed for PC! However I'm going to go on a whim and say no it won't perform amazingly, you might need to look at a new graphics card/cpu.
Mainly the graphics card because it's not very powerful and I can only speculate GTA 5 will require a more powerful system than IV. Your CPU isn't that great either but I couldn't possibly go recommending any parts at this point because I can't see the future!
The FX-6100 should be fine and having 4GB of RAM is a good idea. However, the Radeon HD 6570 is a weak graphic card and is not really considered a gaming card. It's more of a multimedia card. Probably good enough for 1280x720 resolution with low graphic settings, but I can't say for sure.