I didn't have a great undergraduate GPA

I did not do too well in undergrad my cumulative GPA is a 2.579. However I started out in a major that was terrible and I got a 1.4 my first semester. Every semester after that I improved my overall GPA and was only able to bring it up to a 2.579 Cumulative GPA. My GPA in my major is a 3.03. I am looking at applying to graduate school, the program does not require a GRE. What are my chances of getting in?

It is OK for you to ask the admissions team for that particular program. A 3.0 in your major is fine for some programs.

It is impossible for us to answer this question - well, in general, but especially without knowing anything about what kinds of programs you are trying to get into. Getting into a PhD program with a 2.58 and a 3.03 major GPA would be a very long shot, for example. But some professional master’s programs? Especially some noncompetitive ones? You might have a shot.