not a lot, You would be better upgrading your gpu to a r9 280x, something around that range. maybe a 770. You could also look at upgrading your cpu to something like an i5 however this would also require you to change your mobo
Tom's has the 270 playing on High settings @1080 averaging 50 fps. Note, you should expect frames to jump a lot in multiplayer. I average 50-70 frames on Ultra with a 770gtx. Personally, I would get an 8320 as it performs very similar to the 8350 (unnoticeable in gaming) and get a 270 or if your budget permits a 760 which is a little more powerful than the 270.