In general, Hamlet's responses are convey through language in several ways. First and most generally, he externalizes and verbalizes his response. That is to say, things that might stay inside of you or me, as feelings we don't have words for, Hamlet spells out, loudly and in detail. Second, and closely related, he provides metaphors and images to help with this. Third, Hamlet "over communicates"—he gives responses that explain the past history of the situation.
(Oh, if you're looking for Hamlet's response to something or one specific, you'll want to supply a little more context. What event or scene in particular intrigues you?)