Looks like a hut. The wikipedia article says:
Quote:
In a 1982 expedition (16 October 1982 – 10 February 1983), students and faculty of Denstone College in England made detailed maps of the island, studied its flora, fauna, and geology, and carried out a bird ringing programme on more than 3,000 birds.[13] In 1997, Inaccessible Island's territorial waters out to 22 km (14 mi) were declared a nature reserve under the Tristan da Cunha Conservation Ordinance of 1976. Currently, only guides from Tristan are allowed to take visiting cruise ships to Inaccessible; most trips to the island are now made at the request of expatriates.
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So, people can still go there under strict conditions.