"Gimore Girls" promo song...

I've been trying to figure this out since last October. You can watch the promo here YouTube - Gilmore Girls 7x04. The only lyrics that I can get are.

"Cause all I wanna do"
"Watch the sky turn blue with you"
"That's all I wanna do"

I did not find an exact match for your lyrics.
A "sound a-like" match would be "THAT'S ALL I WANNA DO" by GRAHAM COXON

I just want to be with you
That's all I wanna do
I just want to be with you
That's all I wanna do