Jane and Guildford actually hated each other. Their marriage was never actually consummated because Jane was too repelled by him - she was an intelligent young scholar and he was a childish, unpleasant dolt.
Although the film is correct to portray Jane as a precocious and talented scholar, it contains a number of historical inaccuracies. Jane was not a social reformer during her reign as in the film. That type of social reform was not part of political thinking during the Tudor era.
Although the movie clearly has rewritten history to make a romance, in reality Jane and Guilford never lived in their own home, nor did they ever live as man and wife in the short time they were together; within a month of the marriage Jane was crowned Queen (and refused to crown Guilford King), and 9 days later they were both in prison, lodged in separate towers, and never had contact again.
Through the movie John Dudley and everyone else keeps referring to Guilford as the last of three sons, the true Guilford was the 4th of the 5 sons of John and Jane Guildford Dudley to survive infancy. The 5 sons were, in order of age, John, Ambrose, Robert, Guildford, and Henry. At the time of the marriage negotiations Guildford was the eldest unmarried son of John Dudley and nearest to Jane Grey in age.
John Dudley's 5 sons were all arrested after their father's fall from power. The eldest son John became ill during his imprisonment and died within days of being released. Ambrose survived and regained the family title of Earl of Warwick; he was the only Dudley son to leave surviving legitimate heirs. Robert fought under Queen Mary's husband Philip of Spain at St Quentin and went on to become Queen Elizabeth's favorite and gained the title of Earl of Leicester. Guildford was of course executed hours before his wife Lady Jane. Henry also fought under Philip of Spain and died in battle.