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Hi, When I update my macbook air 13,3 from 2009 (1.6 dualcore - 80GB hard drive) to the latest update that allows me to install Lion, it freezes and shows me this. http://prntscr.com/dfe9c9 Then I have to reboot. Could this be related to the graphic card, or the disc is damaged? Really looking forward to receiving your help!

Yes looks like a GPU issue unfortunately. The 2008 and 2009 Macbook Airs have a lot of issues with the GPU and RAM, so I would recommend just selling it on eBay for parts. Someone can reflow the GPU (temporary fix) or replace the GPU (will be replaced with a 2nd hand GPU), but I guarantee it will happen again, or the RAM will then fail :(