Right now I have a 102F temp, so I know how you feel. I laid on the couch all day yesterday, so I'm pretty sick of watching TV and laying around.
As long as you are relaxed and not exerting energy, being on the PC is fine. Now gaming generally raises your heartbeat, so that's not a good idea (unless it's solitaire or something.) I can't imagine wanting to play a FPS game in the state I'm in now.