Quite a few (but certainly not a majority) of undergrads I have seen use an iPad to take notes. The most popular note-taking apps are Notability and GoodNotes.
Unless you go for the larger iPad Pro (12.9"), screen sizes are the same for the smaller iPad Pro and regular iPads (within 0.1 inch). See the comparison chart at the link below
https://www.apple.com/ipad/compare/?modelList=ipad-pro-11-4th-gen,ipad-air-5th-gen,ipad-10th-gen
I would not go with the larger Pro b/c it is bulky (I have one). A regular iPad or iPad Air would work fine. Main difference is that with the regular iPad you can't use the 2nd generation Apple pencil. The two pencils are compared at
https://mediapeanut.com/apple-pencil-2-vs-1-what-is-the-difference-compared/
Hope this helps some.