There might be a tendency for a person who's already had COVID-19 to think "that's it, I can't be infected again." But since viruses mutate, and there are several known variants of COVID, that could be a risky train of thought.
Recent research from Oregon Health & Science University (OHSU) shows that getting a two-shot vaccine protects previous COVID patients from the variants.
The study is so new it's not yet officially published; co-author Bill Messer from the Division of Infectious Diseases at OHSU checks in with the case for getting vaccinated after infection.