In the dream sequence, Ginger (as an evil spy) apologizes to Mr. Howell (as Chief Evil) with the line "Sorry about that, Chief." That was a frequent refrain of Maxwell Smart on "Get Smart" which premiered the previous year.
In Gilligan's dream, Mary Ann is Evil Agent 10, Ginger is Evil Agent 5, the Skipper is Evil Agent 1, Mrs. Howell is Evil Agent Lovey, Mr. Howell is Chief Evil, the Professor is Chief Good Guy, and Gilligan is Good Guy 014.
At 22:25, Mrs. Howell as Evil Agent Lovey says, "Now I know why they call you 014...you're twice as smart as 007." She is alluding to James Bond, 007, the famous secret agent.