Unless the stable you pick offers theory classes, you won't learn much background information by taking riding lessons. I remember, when I was riding at the highest level my barn offered, the teacher decided to play a game with us. She would ask a question about horses and the person who answered got to do a jump or steal someone else's horse. The other riders' level of knowledge about horses was what mine was when I was, oh, ten... because I READ BOOKS. I tried not to answer all the questions but it was hard
Some of them didn't even know what a martingale was called or what it was for, just how to put one on. They didn't know where the croup or the poll was. It was scary really.