Yes, you should still get the vaccine even if you have already had COVID-19. It is possible, although rare, to contract the virus again and become reinfected with COVID-19. The immunity someone gains from having an infection varies from person to person, and experts are still learning how long someone is protected from getting sick again after recovering from COVID-19. Studies also show that the vaccine can give a strong boost in immunity to someone who has already recovered from COVID-19. Plus, getting vaccinated is a much safer way to build immunity than getting the virus itself.
Note: If you were treated for COVID-19 with monoclonal antibodies or convalescent plasma or have a history of multisystem inflammatory syndrome (MIS-A or MIS-C), there are some additional clinical guidelines regarding vaccination. Learn more here and talk with your provider.