Though movie marquee at the Victoria Theatre is shown advertising the 007 film Agente 007 - Si vive solo due volte (1967), originally released in 1967, the film is not set in 1967. Because Gloria began high school in 1951 (age 14, most likely), and because her age is 36, that sets this film in 1973. The cinema must have been offering repertory programming.
David says that the swap meet prize is a 1951 film by Humphrey Bogart. This is either Sirocco, The African Queen, or The Enforcer.
Kim Novak was 40 during this film. Her character, Gloria, met Joey Jordan (Tony Curtis) 13 years ago, when she was 23, so Gloria is 36.