*Disclaimer* I'm a veterinary orthopod, not an MD. Please do whatever your doc says.
But in general terms, if you break your fibula, but not your tibia (which is the weight bearing bone), the tibia acts as an internal splint, and the fibula will usually heal up without too much trouble. It takes about 4-6 weeks.
Your ankle is going to be the rate limiting factor in your recovery. It would probably greatly help if you could get some of those resistance bands and start strengthening your ankle at home. I'm sure you can google/youtube the exercises.
Good luck! done the rehab thing WAY too many times than I care to recall...