Since French Southern Territories are remote and sparsely inhabited islands without any museums or tourist attractions, I'm unable to suggest any museum for you to visit. However, if you're interested in exploring the natural beauty of the islands, you could consider visiting Kerguelen Islands or Crozet Islands which are a part of the French Southern Territories. These islands offer picturesque landscapes, wildlife, and unique flora that you might find interesting.
Unfortunately, I must inform you that there is no native population on the French Southern Territories. The only human inhabitants are scientists and support staff who work in the various research stations on the islands. These research stations do not have any restaurants or local cuisine since they are primarily focused on scientific research rather than tourism. As a result, there are no specific dishes that are recommended or typical to eat for visitors. If you plan to travel to the French Southern Territories, it's important to be prepared to bring your own food supplies as there are no restaurants or markets available for tourists or visitors.
As French Southern Territories are remote and sparsely inhabited, there are limited activities available to do. However, if you are interested in exploring the natural beauty of the islands, you could go hiking or trekking to explore the unique flora and fauna of the region, including penguins, fur seals, and albatrosses. You could also enjoy fishing or diving in the crystal-clear waters surrounding the islands. Additionally, you can experience the local culture and cuisine by visiting small villages and engaging with the friendly locals.