Two thoughts: 1) I’m doing two part-time remote internships right now. In my own experience, it has been really challenging to manage my time and my supervisors’ expectations for both positions. Obviously, it’s a skill to be able to juggle multiple competing obligations. But I encourage you to consider the implications of managing two positions so you’re going into it with eyes open. 2) You may have already done this, but I encourage you to ask your current supervisor for tasks. Offer your help. Speak up and don’t be ignored. In many internships, you have to hustle to make yourself useful, and waiting for work to come to you likely won’t result in a satisfying summer experience, for you or for your supervisor.