From the CDC:
"People who have gotten sick with COVID-19 may still benefit from getting vaccinated. Due to the severe health risks associated with COVID-19 and the fact that re-infection with COVID-19 is possible, people may be advised to get a COVID-19 vaccine even if they have been sick with COVID-19 before."
https://www.cdc.gov/coronavirus/2019-ncov/vaccines/vaccine-b....