Hamlet and Gertrude's relationship is a complex and conflicted one. Gertrude is Hamlet's mother and the queen of Denmark. Hamlet is deeply upset by his father's death and his mother's remarriage to his uncle, Claudius, who is now the king. Hamlet is also suspicious of Claudius' involvement in his father's death.
The relationship between Hamlet and Gertrude is strained from the very beginning of the play. Hamlet is disgusted by his mother's quick remarriage and accuses her of being unfaithful to his father. Gertrude, on the other hand, tries to defend her actions and denies any wrongdoing. She tells Hamlet that she had no choice but to remarry in order to maintain the stability of the kingdom.
Despite her efforts to defend herself, Hamlet remains angry and distant from Gertrude. He speaks to her harshly and accuses her of being complicit in his father's murder. Gertrude is hurt by Hamlet's words and tries to reason with him, but he remains unconvinced.
As the play progresses, Hamlet's feelings towards Gertrude begin to shift. He starts to see that she is a victim of Claudius' manipulation and begins to feel sorry for her. In one of the most famous scenes in the play, Hamlet confronts Gertrude in her bedroom and shows her a mirror, hoping to reveal the truth about Claudius to her.
Despite this moment of understanding between Hamlet and Gertrude, their relationship remains strained. Gertrude is unable to fully grasp the truth about Claudius and continues to defend him, causing further conflict with Hamlet. In the end, Gertrude is poisoned by Claudius and dies, leaving Hamlet heartbroken and alone.
Overall, the relationship between Hamlet and Gertrude is a complex and troubled one. While Gertrude's actions may seem selfish and misguided to some, it is clear that she is ultimately a victim of Claudius' manipulation and is unable to fully understand the truth about him. Hamlet, on the other hand, is torn between his love for his mother and his desire for justice for his father. Despite their misunderstandings and conflicts, the bond between Hamlet and Gertrude is ultimately a strong one, as they both love and care for each other deeply.