The problem is your Intel Integrated Graphics card which does not properly support OpenGL. If you turn hardware acceleration on (in SU preferences) with this chipset you will most likely have problems selecting faces. If you turn it off the program will be very slow.
http://sketchup.google.com/support/bin/answer.py?hl=en&answer=36252
http://sketchup.google.com/support/bin/answer.py?answer=36208&cbid=867g2ovjzx5v&src=cb&lev=answer
You need a proper video card (preferably nVidia) that supports OpenGL. You don't have to spend a lot of money, the low cost Geforce cards work just fine.