Answer:
It is a dramatic irony because because the real queen Gertrude remarried in Real Life, with apparently no objection, after her husband died. She married her brother-in-law, Hamlet's uncle.
Explanation: As the play tend to reproduce what happened in real life to Hamlet's father, The Ghost, it's possible to identify irony in Gertrude's words “The lady protests too much, me thinks.” as they were living a huge drama, in the play, and in real life.