That sucks, but look at the bright side, you still have use of your two legs and one good arm. I would take this time to work on mobility in your upper back, hips, hip flexors, and ankles (most people need more flexability in these areas). Buy a foam roller and start using that everyday or twice a day. Everynight before bed try to make it a priority to take a few minutes to do some static stretching of these areas.
If you have access to a gym, try to go in and do some strenght training on your legs, core, and good arm. I've heard many suggest that training the good side can actually help heal the bad one. Standing cable rows would be a great exercise to work on your shoulder, bicep, and core stability. You can even stagger your feet to simulate standing on your pedals for a little extra challenge. Then for legs, anything with your bodyweight would work well. Single leg squats, single leg dead lifts, lunges, box stepups will be challenging and be little impact. Maybe even one arm kettlebell swings for power development and/or conditioning. The only thing I can think of is, be careful with losing your balance while doing single leg training, and possibly falling over onto your bad arm.
I hope these suggestions help.