das Dorf
village
A small rural settlement that is smaller than a town and often has its own church and community.
Er zog aus der Großstadt in ein ruhiges Dorf am See.
He moved from the big city to a quiet village by the lake.

village
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village
A small rural settlement that is smaller than a town and often has its own church and community.
Er zog aus der Großstadt in ein ruhiges Dorf am See.
He moved from the big city to a quiet village by the lake.

The word 'Dorf' (village) is often the first part of compound nouns that refer to life in a small community. Examples are 'der Dorfplatz' (the village square), 'die Dorfkirche' (the village church), 'das Dorffest' (the village festival), or 'die Dorfgemeinschaft' (the village community).
Jeden Sommer findet auf dem Dorfplatz ein großes Fest statt.
Every summer, a big festival takes place in the village square.
To indicate a place, you use 'im Dorf' (in the village), with the dative. To describe movement into the village, you use 'ins Dorf' (into the village), with the accusative.
Wir treffen uns im Dorf vor der Bäckerei.
We'll meet in the village in front of the bakery.
A very common fixed expression is 'auf dem Dorf wohnen' (to live in the countryside / in a village). Here, the preposition 'auf' is often used instead of 'in' to describe life in a rural area in general.
Meine Großeltern haben schon immer auf dem Dorf gelebt.
My grandparents have always lived in the countryside.
You can tell whether 'Dorf' (village) means the place or its inhabitants from the verb. If the verb describes an action that only people can perform, such as celebrating, talking, or helping, then the inhabitants are meant.
Nach dem Sieg der Fußballmannschaft feierte das ganze Dorf.
After the soccer team's victory, the whole village celebrated.
city
'die Stadt' and 'das Dorf' both refer to places where people live, but they are clearly contrasted. A city is larger, more densely built up, and usually has more shops, traffic, and public facilities. A village is smaller and is often in a rural area. Learners may confuse the words when they only want to speak generally about a place to live. In that case, size and surroundings help: when there are many people, streets, and amenities, you are more likely to say 'Stadt'; for a small rural place, 'Dorf' is more likely.

Das Dorf ist klein, aber die Nachbarn kennen sich fast alle.
The village is small, but almost all the neighbors know each other.
Am Wochenende fährt sie in die Stadt, weil sie neue Schuhe kaufen will.
On the weekend, she is going into the city because she wants to buy new shoes.