likely to get OR spread it after being fully vaccinated, but its not impossible. If you do get it youre much less likely to get very ill.
From CDC site: The risks of SARS-CoV-2 infection in fully vaccinated people cannot be completely eliminated where community transmission of the virus is widespread. Vaccinated people could potentially still become infected and spread the virus to others. https://www.cdc.gov/coronavirus/2019-ncov/science/science-briefs/fully-vaccinated-people.html
Cleveland Clinic:
Can fully vaccinated people still transmit the virus to others, including other vaccinated people?
While it is possible, Dr. Cardona says that the ability to transmit COVID-19 may occur at a lower rate. She adds that this could also be a reality for people who dont have a good immune response to vaccines.
On June 7, the CDC issued a press release regarding their study of the effectiveness of vaccines in fully vaccinated people. . . . The results of this study also suggest that fully or partially vaccinated people who become infected with COVID-19 might be less likely to spread the virus to others. With fully or partially vaccinated study participants, the virus was 40% less detectable in their noses. It was also detected in six fewer days (i.e., viral shedding) as compared to those who werent vaccinated when they became infected.
https://health.clevelandclinic.org/can-vaccinated-people-transmit-covid-19-to-others/
more background info: https://www.bbc.com/future/article/20210203-why-vaccinated-people-may-still-be-able-to-spread-covid-19
Rick Bright, who was on Bidens Covid task force, says the CDC by failing to sequence all breakthrough viruses they are not getting good data on vaccine-evading variants.
https://www.marketwatch.com/story/rick-bright-wants-to-wipe-out-this-virus-but-its-going-to-take-better-covid-19-vaccines-distributed-to-70-of-the-worlds-population-11621345335