I only did one interview over Zoom with the person who would be my supervisor. Overall it was very casual and a good experience - we talked about my experience, what I wanted out of the internship, and what our current reads are (super important! remember that publishing is about the books & connecting with your interviewer over books is a really good way to be memorable while displaying your knowledge of publishing.)

Straightforward phone screen with human resources and then with the intern manager. It included the usual interview questions and a discussion of your favorite books and how the intern program would work.