They don’t need much! As others said, just stick to the list when it comes out- it is VERY short (like, sneakers, boots, ten pairs of socks, ten white tshirts, ten pair of underwear, toiletries, iron, ironing board). If you’re coming from a far distance and flying, you can order larger items (fan, ironing board, etc) in advance and have them shipped to the school mailroom or your hotel (confirm that the hotel is ok with it).
For bedding, we did the school linen service for the first semester. They will only need plain white sheets and a pillow- the school will provide the blankets etc. We had to travel by plane to get to campus, so we built in some time to go to the Walmart in Barre to pick up cleaning supplies, toiletries and snacks. Our DD’s roommates coordinated around having a printer, ink and paper so they had that in their room.
It feels very stressful but just following the list is all you need to do at first! We set our student up with accounts on Amazon and Walmart so she could order odds and ends as she was settling in and that worked great. They need to buy a lot of cleaning supplies early in the first semester (all the Rook inspections!) but that lets up a bit as the semester goes on.