If you have recovered from COVID you can go ahead and get the second dose if you need no longer be in precautions (10 days after symptom onset, resolution of symptoms, and no fever).
I have heard from several people that received the dose given after recovering from COVID, that they had very strong side effects. Nothing life threatening, but more intense immune response because of recent infection.
If you have had documented COVID, you can also wait 90 days before receiving the vaccine.
Good luck!