Current Hunter student here. I did not personally receive funding, but I know some do. The department doesn't really advertise funding options before or during enrollment in the program so I'm not sure how common it is. However, if you can establish NY residency during your first year (if you are coming from out of state), you can finish your degree with the in-state tuition rate (about half the price).
I also applied to the MA Art History (without museum studies) program at Case Western and they offered full tuition coverage but no stipend. I believe they offer this to almost all students they accept, based on what I heard from a current student. If you are interested in working in the museum field, it's worth considering the Art History + Museum Studies program because they place students in long-term internships with the Cleveland Museum of Art.
If you have any other questions about the Hunter MA program, faculty, etc. I'd be happy to answer what I can!