WARNING! A LITTLE BIT OF A SPOILER:
In the novel, she went to school with just her female friend and the other bully guy, not with the Crown Prince. They exchanged letters during her time there, and we only learned about her years at school through those short letters. So I’d say they mostly skipped that whole period in the novel.
The other guy with the snake is the main villain, but his entrance in the novel was different. There weren’t any professors like the ones in the manhwa either. She did mention in her letters that the professors at the school didn’t want her to leave and wanted her to stay because she was so talented at magic, though. So I guess this professor might end up being like that later on. ╮( ̄▽ ̄)╭

It’s so gooooddddd there aren’t any school years in the novel so all this is new to me I can’t wait to see her relationship with the Profs hahaha (⌒▽⌒)