You will experience one of the most beautiful places in the world! So yes generally, you can take photos and videos of yourself and the surrounding nature for your own personal use. However, you cannot take photos, videos, or any recordings of tribal members, community members, animals, homes, buildings, burial grounds, and sacred sites and objects.
Drones or any other means of aerial photography/video is prohibited. Photography, filming, documenting, or recording using any means for commercial purposes is also prohibited.