If you have surgery, physical therapy to regain your arm and hand strength will likely be advised.
You might need a splint for a few weeks to help make sure the elbow heals properly.
Ongoing care for your elbow should include steps to avoid injuring or irritating the nerve further. You should be careful to avoid trauma to your elbow.
You may also need to learn, with occupational therapy, how to hold your arm differently, stretch, or take frequent breaks when doing everyday activities such as working on your computer.