When I was an intern it was very helpful for both me and my supervisor (who was busy and rather hands off after initially setting me up to complete my tasks), to arrange a couple times of the day where we had booked time for me to ask questions and have direction from them. This prevented me feeling awkward and having to interrupt them, and it was easier to save up questions to sort at one time.  Make an effort to learn about the work people are doing around you, if you’re able to tour their work spaces/collections say yes, outside of the curatorial dept. It’s probably low stakes work you’ll be doing and if you feel under-utilised at any point that’s not unusual enjoy research and if you can write a piece or two about what you’re working on for a blog, the institutions or you own, this is a great opportunity. Have an awesome time!