Will they send me a confirmation email or what???
Different schools handle it differently. Most I’ve seen send an email confirmation, with a link and login information for a status website, but not all. Some do it by mail. If you don’t see/receive any confirmation after a few days, check with their admissions office.
If you applied via Common App, you should receive a confirmation of payment and submission, as well as an email confirmation from the individual college. The former should arrive instantly after submission, but the latter can take a couple of weeks.