He'll be ok on the APU. I played it on the same apu, steady 35+FPS everything on Max. You can check on youtube, should be able to find how it performs on some of the more recent titles. It's not a "great", but a lot of it will depend on the screen resolution, etc.
http://www.youtube.com/watch?v=TCagWohEOKY
You can see the APU playing Crysis 2 on High at lower screen res. Should be fine max settings on 720p, and most likely 1080p if that laptop has it.
I played it max on the same processor/apu on 1600x900, I know for a fact that it will
http://www.youtube.com/watch?v=_iyIrMv1XL0
Defaults Skyrim to High. 2k13 is much easier to run than Skyrim.
Furthermore, the max screen res for that laptop is 1366 x 768 pixels, unless you custom ordered it with something more? You'll be perfectly fine at that resolution.