The CDC recommends vaccination even if you've already had Covid: https://www.cdc.gov/coronavirus/2019-ncov/vaccines/faq.html#:~:text=If%20I%20have%20already%20had,had%20COVID%2D19.

I know I read something in the NYTimes on the question of if one vaccine dose would be sufficient for a child who had already had Covid, and it was a maybe yes, but at the same time, the vaccine is safe, so fine to get both doses after recovering.