What books would you recommend for me considering I'm going into 1st year soon-ish? I know there are course notes and stuff, but is there any books out there that would be good to get my hands on?
I'd say linear algebra and calculus are the two main general things you have courses in in first year.
The former is (in first year) a pretty dry computational subject. If you eventually wanted to learn linear algebra properly and are willing to put some hard work in I would recommend Halmos- Finite Dimensional Vector Spaces. For first year though you don't really need this, there are a million and one gentler books designed for a first course in linear algebra.
I would get Spivak- Calculus for the latter. Again, this is a book for "learning calculus properly", at the cost of not being as gentle as more widely used books like Stewart. This is a really good book though, haven't seen anything close to as good as it for learning calculus. (It's also easier than Halmos overall IMO, but your thoughts might be different depending on your natural algebra/analysis inclination.)
If you want to go down the gentler route, the two volumes of Apostol's calculus would probably have everything you need.