The book is correct. We use "see" when we have to travel to some location (theater, cinema) for the entertainment. It is a different definition of "see" than just using your eyes.
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Selvakumar1. Longman Dictionary of Phrasal Verbs has given an example under the entry for "Look at": "The children spend too much time looking at television.""Look at" means to watch without learning or engaging the mind..