Baptism questions

My boyfriend is baptized and I’m not. He wants to baptize our baby but I’m super unfamiliar which church n stuff so I’m wondering.. if we baptize our baby does that mean she has to do catechism? I’d like to be more informed so I can be on board more, I’d like to understand so I can be just as involved as him since it’s important to him. or can someone explain the process? Catholic btw