Hi. I need to know how to add a second google drive account to my adobe reader. My school provided a new one for me but I cannot find how to add it to my account without eliminating the one already there which is my primary
You need to verify which email addresses you're using as signing ID's between your school account and cloud storage services.
For a school account you're supposed to use the username and password that the school provided for you. Never try to sign in with an adobeID or the primary email address associated with another subscription.
If you're logging in to a service that the school is already enrolled with you need to get that info from your school and you also need to go to the google drive support website for that.