Yep. Getting boosted (getting a booster) confers secondary immune response. The initial jabs only confer primary immune response.
See this for more info: https://bio.libretexts.org/Bookshelves/Microbiology/Book%3A_...
See this for more info: https://bio.libretexts.org/Bookshelves/Microbiology/Book%3A_...
"As Hopkins Medicines suggests, the third dose of the mRNA COVID-19 vaccines- Pfizer and Moderna- is *identical* to its first two doses. "[emphasis mine]
From
https://www.republicworld.com/technology-news/science/is-pfi...
If you are eligible for a booster, then you should get one ASAP. The original coronavirus vaccine antibodies present in your body will cross-react, to a certain degree, with omicron.