Will you go . . . . . . . . a movie?

The correct answer is: A. to see

The verb “go” is followed by the infinitive form of the verb “see”, which is “to see”.

The other options are incorrect because they are not infinitive forms of the verb “see”.

• “Seen” is the past participle of the verb “see”.
• “To seeing” is not a grammatical construction.
• “None” is not a verb.