it means exactly what it sounds like. don't lie. this term was created in the early 2000's by two eagle rock high school students.
YODEN: "Hey fred did u know that i curlied last night.?"
FRED: "Oh Din Lie!!"
to have sexual intercourse. to fuck.
Ayoey: "Owilly, did u take that girl home from the club and curly her in ur bed?"
Owilly: "Come on ayoey, you know how we do! its Smash entertainment!!"