Is you a name?

No, "you" is a pronoun, a word that takes the place of a noun (a name is a type of noun) in a sentence.
The pronoun "you" is a personal pronoun, a word that takes the place of a noun for a specific person or thing.
The pronoun "you" is a second person pronoun, a word that takes the place of a noun (or name) for the person or persons spoken to.
The pronoun "you" is singular or plural.
The pronoun "you" functions as both subjective and objective.

Examples:
Jack, you must be hungry. (singular, subjective)
Jack, there is a sandwich for you on the table. (singular, objective)
Children, you must be hungry. (plural, subjective)
Children, there are sandwiches on the table for you. (plural, objective)