Does UF/FSU care about a student's academic improvement?

So, I’m not too sure if I will get into these schools, but my guidance counselor told me I have a shot because of my transcript. I have a 3.76 cumulative GPA (weighted), but I improved every year.

Freshmen: I took all standard classed and ended that year with a 3.64
Sophomore: I moved up to all honors. My grades were a little rocky…As, Bs, and C in geometry. Ended the year w/ a 3.5
Junior: Took all honors again (my school did not allow me to take AP) and ended that year with a 4.1
(all these GPAs are weighted by the way)

Although my 3.76 cumulative gpa is not that good for these schools, I did end with a 4.1
My guidance counselor said that colleges will take this trend into great consideration, but I don’t know.

Any thoughts? Thank you so much!