Final answer:
King Hamlet died before the start of the play. Queen Gertrude married Claudius less than two months after his death. Based on Hamlet's words and actions, it can be inferred that he believes Queen Gertrude did not love his father.
Step-by-step explanation:
King Hamlet died prior to the start of the play, Hamlet. The exact amount of time that has passed since his death is not explicitly stated in the play. However, it is implied that some time has passed, as the characters have moved on with their lives. For example, Queen Gertrude has already married Claudius, her brother-in-law, and Hamlet has returned from university.
In Act 1, Scene 2, it is revealed that Queen Gertrude married Claudius less than two months after King Hamlet's death. Hamlet criticizes the haste of her marriage during his soliloquy, expressing his disappointment and suggesting that this quick remarriage indicates a lack of genuine love for his deceased father.
Based on Hamlet's words and actions in the play, it can be inferred that he believes Queen Gertrude did not truly love his father. The fact that she remarries so quickly after his death and seemingly moves on from her grief implies that her love for King Hamlet may not have been as deep or sincere as Hamlet wishes it were.
However, it is important to note that this is a subjective interpretation and different readers or viewers may have different opinions on Queen Gertrude's feelings towards her first husband.