I was the same way up until I was your age. Had only read a handful of books up until I graduated high school. If it helps, you usually have way more free time at university/college, unless you're working tons of hours during your summer and winter breaks. The schedule is so much better than high school.
If you want a good, slow-burn horror, read Salem's Lot.
If you want a 20th century classic that holds up today, read Fahrenheit 451 or 1984.
If you want a real-life adventure story, read Into the Wild or Between a Rock and a Hard Place.
And if you want books that everybody seem to love, read the Harry Potter books.
Congrats on going off to university! Have fun and study hard! 
It'll be awhile before I figure out how to do one of these. :P
