I also have another question- would ai have to pay the admission fee just to take pictures..?

If u don't pay u 'll only get as far as the Cafe and tiny gallery at the Entrance.

For information on taking photographs on site, visit eastman.org/photography-site. We encourage photography on the grounds and in the museum, however if you are a commercial or professional photographer fees may apply.

Free admission for students with college id's and patrons with benefit card id's

Yes