Vaccinated individuals can also carry it. It does not stop spread or contraction. These Vaccines are just supposed to reduce the extreme Symptoms
Kill pathogens more quickly, you'll be infectious for less time, and whoever do you infect will have a lower viral load.
https://covid19.sccgov.org/dashboard-case-rates-vaccination-...
Source: https://www.cdc.gov/coronavirus/2019-ncov/science/science-br...