Some excellent advice here.
However, Bed, Bath and Beyond no longer operates brick and mortar stores, iirc. Your student will need towels, flip flops, detergent, toiletries, an extra long mattress cover and extra long fitted sheets (dorm mattresses tend to be extra long), blankets/ duvet, pillows, pillow slips, hangers, laundry bag, shower caddy, storage for stuff like underwear (plastic drawers, etc). It's a good idea to start looking online for all this in July, when the summer stuff starts to disappear from places like Walmart and Target and Back To School stuff appears. Look at dorm regs wrt what appliances are allowed in the dorm rooms.
You can find second-hand dorm room fridges, microwaves, electric kettles, etc. online. If your student is in Boston, just trawl around and you'll find stuff like mirrors, storage, rugs, etc. dumped on the curb on 'move in day' (Aug 31st/ September 1st). It's probably easier to have stuff delivered from store to dorm though.
Also, find out which banks have campus branches, and open your student's account there. A campus branch isn't an absolute necessity if the university is in an urban setting, but if it's a college town/ rural setting it is. It's especially important to have a campus ATM that is operated by your student's bank. My DCs ended up with Chase, Bank of America, and Ally (which is an online-only bank).
If he's in a dorm (highly recommended as an option if there is a choice) there will very likely be a cafeteria in the dorm building so groceries / shopping won't be an issue. Dorms are good places to make friends.
Read all information about move-in day carefully. Universities usually have time slots for different groups. There will be info about paperwork, check-in, where to park and for how long, etc.
Read all academic advising information carefully - make sure your student is in the right classes and is happy with his or her academic advisor. This is important.
Once moved in, the maintenance team can raise beds to allow the dorm room desk to be pulled in under the bed or to leave room for storage, or make the two beds in the dorm room into bunks, freeing up floor space. Requests generally have to be submitted, so watch out for notices about this.
Look at the Greek element of the university - some universities have a huge sorority/ fraternity culture. Your student may or may not be interested in joining one. There are plusses and minuses.