Regard your internship as if it was an extended interview.
An Associate at New York's Catharine Clark Gallery, Ariel Rosen, wrote to us in an email, "Treat the internship as a job, give it your all, be open and receptive and ask intelligent questions. Try to figure out how small tasks contribute to the greater functioning of the space. Above all, have a positive attitude. We know filing isn’t thrilling, but we would do it when you’re not there, and we need to see that you remain upbeat even when faced with less than ideal tasks."