I've been a barista before in a bookstore (Books-a-Million), and I know we had a book of drink recipes we could consult with. It also had a manual with how to break down and clean machines, etc. I'm sure they'll let you take notes, I would believe they would appreciate it because it shows you care about the job. Congrats on the job!
Once you learn a few drinks, you learn that some of them are just the basic coffee, milk, plus extra things.