Uhmm you do realize that upgrading your GPU on a APU system will NOT improve the gaming because the APU is the problem right? A APU is a low cost, low end, low power combination CPU+GPU to make cheap PCs for the masses (the 90% that just Facebook, Email and Flapping Bird) NOT made for gaming. Further as the APU motherboard ONLY works for APUs, you couldn't even upgrade to a FX CPU, the computer is a dead end cheap quick solution.
http://www.hardwaresecrets.com/article/A10-5800K-vs-Core-i3-3220-CPU-Review/1646/19
This is the finding on the 'BETTER' APU than the OP has against the OLD i3-3xxx CPUs, not the current Haswell i3-4xxx CPUs sold.
"that depending on the game, you won’t be able to achieve a good frame rate (i.e., a good gaming experience) even when lowering all image quality settings to their minimums. From the games we ran, we achieved a terrific frame rate on StarCraft II (almost 80 frames
per second), a good frame rate on FarCry 2 (around 40 frames per second), and a playable frame rate on DiRT3 (36 frames per second). However, on Battlefield 3 and Borderlands 2 the frame rate was below 20. "
**NOTE THE YEAR on these 'games' tested, they are NOT COD:Ghosts, AC4, BF4, etc !!**
"Similarly to what we learned with the previous generation of AMD APUs, the A10-5800K lags behind its competitors in general processing performance. The Core i3-3220 is faster than the A10-5800K for day-to-day operations."
So you would have to replace all the components except the Hard Drive and DVD player (probably even the case since it MAY not fit parts NOT made by the Manufacturer), which really means a whole new PC. A 'gaming PC' able to play 2013 and forward games, at 'High Settings, 1920x1080 aka 1080p display, 45FPS during 64man maps' is no less then $700, Ultra 50FPS minimum standard is no less then $1000. If these are 'too expensive' then you joining the large number of people buying consoles where a new Game released 10 years (see the PS3/360) after the console was made still works perfectly as advertised with no need to 'upgrade' because the Videocard/whatever can't "achive frame rate" to make it more then a slideshow.