It's not a sedge (which look like grass). It may be asparagus fern, which is a problem in FL. Take a look at the link and see what you think.
I'm not in Florida, so it could very well be something else altogether; hopefully, someone else will pop in with an opinion.

Here is a link that might be useful: FL invasives page on asparagus fern

Yes, it does look like that bad boy, asparagus fern. A problem north of the FL border too, not sure how far... Forget when the red berries show up, but that would be a clue as well. Do you remember seeing any?

Never any red berries, but an awful lot of white ones from time to time.

I live in south florida and yes that is an asparagus fern!