Yes, people who get the vaccine can get covid, but the illness is heavily mitigated and death rate is reduced to almost zero. Anecdotally (and I'm not a doctor)

Yes, people who get the vaccine can get covid, but the illness is heavily mitigated and death rate is reduced to almost zero. Anecdotally (and I'm not a doctor) it seems that with the vaccine, immune system reacts to the initial infection in your nose and prevents it from spreading to your lungs and blood vessels (which causes a lot of damage there e.g. for some relatives who got covid last year), but you still may get some local symptoms around nose and (AFAIK) can infect others because of that.