κονάκι means cabin, hut, house built with cheap materials. The word has Turkish origin and is used mostly in rural areas.
στέγη literary means roof, but depending on the context it may have a wider meaning: home, shelter, residence.
Η στέγη και το φαγητό είναι βασικές ανάγκες των ανθρώπων. = Housing and food are basic human needs.