Harmonies!
I'm not really a four-part harmony aficionado. Can't really comment on what's going on here in-depth. But gee whiz, the effects these voices produce are so fun.
There are plenty of other versions of this song, but the sweetness of the Chordettes' tone, plus the dreamy backing vibraphone and the smooth accompaniment of the jazz combo, make this one the most satisfying to me.
I've heard versions that go way overboard with the instrumental accompaniment, turning it into a big band number. I think it's overkill. This should always be a small ensemble number with the vocalists way out front. It's not really rock n' roll. It's not really anything. It's basically just pure imagination, which is just what they're singing about.