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Recent works have revealed that quantum extremal islands can contribute tothe fine-grained entropy of black hole radiation reproducing the unitary Pagecurve. In this paper, we use these results to assess if an observer in deSitter space can decode information hidden behind their cosmological horizon.By computing the fine-grained entropy of the Gibbons-Hawking radiation in aregion where gravity is weak we find that this is possible, but the observer'scuriosity comes at a price. At the same time the island appears, which happensmuch earlier than the Page time, a singularity forms which the observer willeventually hit. We arrive at this conclusion by studying Jackiw-Teitelboimgravity in de Sitter space. We emphasize the role of the observer collectingradiation, breaking the thermal equilibrium studied so far in the literature.By analytically solving for the backreacted geometry we show how an islandappears in this out-of-equilibrium state.

The Price of Curiosity: Information Recovery in de Sitter Space