According to the search results, "a burger and a grape snow cone" can have different meanings depending on the context. Here are the different meanings found:

• Urban Dictionary: A handjob given out of pity when a girl rejects your offer for sex.
• Distractify: A euphemism used to describe oral sex or the 69 position.
• HITC: When a woman pleasures a man out of pity after rejecting his offer for sex. It can also be used as a slang term for oral sex.
• Know Your Meme: An internet slang term used to describe the act of oral sex, specifically 69ing, with the "burger" referencing a vagina and the "snow cone" a penis.
• Urban Dictionary: An outdated courting method where a man takes a girl on a date, but rather than raping her, the man spends most of the date.
• Average Being: A technique that entails a gentleman treating his date to a lovely evening out, with a focus on ensuring she has a pleasurable experience and avoiding any inappropriate conduct.

In summary, "a burger and a grape snow cone" can mean different things depending on the context, but most commonly it is used as a euphemism for oral sex or the 69 position.