Is the word we subject pronoun or an object pronoun?

The personal pronoun 'we' is a subject pronoun.

The pronoun 'we' is a plural pronoun which takes the place of the noun (name) for the speaker and one or more people as the subject of a sentence or a clause.

Examples:

We went to the movies together. (subject of the sentence)

The movie that we saw was a romantic adventure. (subject of the relative clause)

The corresponding first person, plural, object personal pronoun is 'us'.

Example: Mom made some snacks for us. (object of the preposition 'for')