Is together a personal pronoun

No, the Word 'together' is an adverb, a Word that modifies a verb, an adjective, or another adverb. Example:

• They danced together for the whole evening.
• Fran and Frank went to the mall together.
• Together only a short time, they became good friends.

The Word 'together' is also used informally as an adjective:

• Mavis runs a together office.