It doesn't matter if you got it as a gift - if the information shows that it is eligible for Applecare, follow the instructions on the site and purchase it.
Remember though, that will not give you tutoring - it is more of a "I have a technical question" coverage as well as free repairs. You might want to find something like a computer club locally or classes from a community college. Another possibility are the classes Apple does - I do not know if they have resumed them all (due to the pandemic), but you might want to look into that:
Today at Apple - Apple
Look for something that includes basics and is in your area.