I feel like a stethoscope is tricky. A lot of people like to pick theirs out. I would offer to pay money towards it if you are going the stethoscope route.
Some things you could put in a basket are compression socks, these are my favorite https://smile.amazon.com/dp/B07Z3GK494/ref=cm_sw_r_cp_apa_i_uoRfFbYPF5SAX
Pens... the good gel-ocity type ones that are really smooth. Highlighters, notebooks and loose leaf paper. A blank USB or 2. And a USB with the Mark Klimek audios on them : ) The #1 tool to survive nursing school is the MK audios.... search reddit.
Dry shampoo. Dove is a good brand, especially for long hair.
Coffee. Tea. Caffine pills. Something to get her through those books (especially the med surg one) without passing out.
A badge reel. There's super cute ones on Amazon or etsy. A stethoscope ID tag.. these range from $8-20 on etsy. They are very cute and prevent stethoscopes from growing legs and walking off.
A thermos or tumbler Don't go crazy, it does not have to be a yeti. This thermos brand is by far the best thermos that I have ever used. It takes hours for it to get cold. https://smile.amazon.com/dp/B004VFHKUS/ref=cm_sw_r_cp_apa_i_PARfFbPK0H98C
For a tumbler you could get cute ones and make it personalized (etsy or Amazon for around $15-20) or any double walled tumbler will do.
Get a journal. Some things in school you just need to keep to yourself but also need to get out. Protect her mental health and encourage her to use it!
There are a lot of unnecessary things that people will tell you to buy. I bought or was gifted a bunch of stuff and didn't even use it. These things I used every day of school and continued to use as an RN.