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1.
very, very good. from Orwell's "1984." as opposed to "plusgood," which means very good, and "good," which simply means, "good."

From a fictitious language called "Newspeak." Using Newspeak instead of English was supposed to prevent "thoughtcrime." (q.v.)
Oh, they renewed the Patriot Act? Doubleplusgood!
by Susie Asado May 22, 2006
 
2.
Something extremely good, replacing "awesome, sweet, extravegant, fabulous, amazing" etc. or any positive description in the english language. This was a phrase commonly used in the book 1984 by George Orwell.
Person A:"I got out of work early today"
Person B:"That's double plus good!"
by digiSAK3 August 17, 2006