I broke my ankle about 2 months ago and was just allowed to get back to gradual weight bearing in a walking boot right before Christmas (6 weeks after it happened). Since I couldn't put any weight on that foot for the first 6 weeks, I just decided I would take it easy, follow the doctors directions, and just resume normal activity when cleared and wait it out until the muscles evened themselves out again. I'm sure there are things you can do (balance on your left foot using beam or wall to help balance and hold left leg up at horizontal to the front, out to the side, and to the back for 30-60 seconds; kicks standing on your left leg with a theraband, those types of things) but I would definitely want to talk to your doctor first before working on any exercises. He/she might be able to even recommend specific activities that won't interfere with your particular injury.
Your doctor might also recommend going to physical therapy when the injury is healed and they would be able to help you start engaging the muscles in your right leg again in a safe way ensuring you don't overdo it or irritate the injured foot. I know it's frustrating but you'll get through it and the muscles will come back quicker than you think. It's better to take the time to let it heal properly than risking further complications.