You sound like me, I can't just sit and rest, I have to do something with my hands!! Personally, I'd use this time for hand applique, as it's a favorite thing of mine. But if you have no hand work home than use this time to plan future projects! Look through magazines, books on hand, and surf the internet for future ideas. You could even order fabric online. Follow your Doctors advice, as you don't want this 6 week period turning into 12!!
On the bright side, sounds like you're doing well if you're so restless!!! I hope you continue to have a nice recovery.