This is the 11756th most frequent Spanish word.
graduarte
"Graduarte" means "to graduate" (referring to you, informal).
In this sentence, 'graduarte' is a reflexive verb form in the infinitive, referring to the action of the second-person singular informal (you) graduating.
Cuando vayas a graduarte, asegúrate de invitar a toda tu familia.
When you are going to graduate, make sure to invite your whole family.
Here, 'graduarte' is used similarly as an infinitive reflexive verb, denoting the action of graduation pertaining to the interlocutor.
Es importante enfocarte en tus estudios si quieres graduarte con honores.
It is important to focus on your studies if you want to graduate with honors.
Again, 'graduarte' appears in the same reflexive infinitive form, emphasizing the preparation phase leading to graduation.