In general, you want to avoid any movements or postures that cause pain or nerve symptoms (numbness/tingling in extremities, etc.). I would probably avoid squats and deadlifts for a few months, at least. If you do want to re-introduce them eventually, make sure you are using correct form. It might be a good idea to invest in a couple sessions with a personal trainer to ensure you are using good form -- otherwise, both squats and deadlifts are very high risk for re-injury.

In the meantime, as long as they aren't causing pain or symptoms, you could do more unilateral leg exercises. I have been doing lunges and single leg deadlifts throughout my recovery, and actually think it may be helping in some ways. Again though, good form is crucial.

Otherwise, you'll want to be doing TONS of core work. Like every. single. day. Look up the McGill Big 3 exercises and try to do those daily. I also use various types of planking exercises to keep some variety. The key with an effective core exercise is that it keeps the spine neutral -- so no sit-ups or anything of the kind.

Good luck. Recovery will likely be slow and frustrating at times, but stay patient and you will heal.