This is the song playing when Dave, Zach, and Brian run into Mrs Kim when their car is stuck at the red light.
“In a Young Man’s Mind” is a song by the garage rock band The Mooney Suzuki, from their 2002 album, Electric Sweat. The song was released as a single in 2003.
Part of the lyrics say:
A kid with a guitar
What does he wanna do?
We’ll be like Pete Townsend, Jimmy Page, and Hendrix too
We’re gonna learn how to play
And practice it everyday
But I was really feelin’
I might come a lady’s way
In a young man’s mind
It’s a simple world
There’s a little bit of music
And the rest is girls
Something of a comment on the guys in the band!
When Mrs Kim asks what Dave is doing with these alarming-looking boys, he pretends that he is also in a Christian band, and they are his bandmates. Mrs Kim warns him that Lane has a crush on him, and says she is interested in hiring them some time. Dave gets away with it for another day, although the squeaks are getting narrower.
The Annotated Gilmore Girls 