Some schools give their students some space on their servers to store files, which is great because then when your professor loses your paper, you can just print it out again, no sweat. Unfortunately, most schools don’t give students any web space. My school didn’t even give student emails until this year, but that was only because they needed an easier way to get in touch with students in an emergency.
Personally, I use my gmail account. There are programs, such as GSpace or Gmail drive, but I just email myself files. I don’t need access to my music or photo collection, so this works out better for me. Also, there are rumors that gmail accounts have been frozen for turning it into storage.
Websites that provide free online storage