generally, authorizations are only granted to people entering for scientific purposes, and already working with a local university. it is not possible to enter for anything related to tourism, no filming or pictures are allowed that involve bathing suits, and no material can be produced relating to religion, ideology, or politics.

on this link, the corpo de fuzileiros navais da marinha do brasil maintains a webpage with more information on the island, its strategic importance, the demographics of the residents, and the history of the region.  

for most brazilian reserves the first step in obtaining authorizations for scientific research or academic projects is contacting the the instituto chico mendes de conservação da biodiversidade - icmbio on this page, where a process of approval can be initiated after appropriate registration.