I am planning to upgrade from my ati radeon 4350 to 6570 and curently with my e3200 dual core 2.4Ghz cpu i can run games from 2012 and before on low mostly, so will this new card help me get better preformance, and if yes how much better?
Of course yes. You can play 2013 games with medium-high graphics with AA set to 2 and vsync off at a better frame rate.
Although i would recommend getting a 7750 which crushes the 6570.