Click on the map in the top right corner to open the map and then click on the different coloured shapes around the grey square to move to those locations. The grey square is clicked when you have enough resources to escape (10 wood, 10 fish and 10 ore). Use W,A,S,D or the arrow keys to move around, you can also jump with space. Press 'e' for interactions and hold 'i' to see your inventory. To operate the drill you must have 1 fish and 1 wood (sort of a trade 1 wood and 1 fish for 1 ore). Once you have ten of each resource click on the map and then the grey square to escape (Win).
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