First things first, the word “progressive” is an adjective that gives some quality characteristics to the noun. In music, the words like this were introduced to describe a certain mood of the genre, for example:
Deep - House
Hard - Techno
Uplifting - Trance
Progressive - Psy
Eventually, these words became part of the genre names, but their original meaning hasn’t changed.
Talking about progressive specifically, it gives a sense of... well, you guessed it, — progression. Whereas in some other genres you just want to skip forward and finally listen to “that drop”, in Progressive music that sense of progression and immersive building-up is the goal itself. It’s very consistent, often with no climax or big emotional peaks which other genres typically have.
And the difference is not only in aesthetic. In progressive music, a sequence (whether it be a melody or, let’s say, a pad) lasts much longer, sometimes it can go pretty much the entire track duration as the opposite to non-progressive music which typically changes sequences every 16 or 32 bars.