What things can I do to treat myasthenia gravis at home?

Not much. About 1/3 can see spontaneous remission, 1/3 stabilize on chronic medications, and 1/3 have progressive difficulties. Chronic and/or longterm medications may aid but can have significant adverse impact on life and/or health. In appropriate candidates, thoracic surgery to remove thymus (thymectomy) can possibly cure: http://goo.Gl/3xxmd.
Not so much. Myastehnia gravis is an autoimmune neuromuscular disease leading to fluctuating muscle weakness and fatiguability. Treatment is with medication, and selective cases benefit from surgeries (thymectomy). It is a disease of easy fatiguability of muscles, thus resting often will help "recharge the muscles" for use later...Medications help this part. Follow up with your doc regularly good luck.