She knows NOTHING musically?
So, that includes the classics and the well knowns?
Therefore, I'm trying to avoid anything too difficult, and will start with the basics for the 10
albums she must own. Based on what she likes out of this, we can recommend more.
Okay, then, here goes.
1) Talking Heads - The Name of this Band is Talking Heads
Great album which covers a lot of the Talking Head's repretoire with fun exciting and GOOD live versions. Such a great, influential band.
2) Radiohead - OK Computer
(Best?) Album by the praised Radiohead. So well known, with so many styles. Forget the hipster haters, you can't deny this album. KARMA POLICE.
3) My Bloody Valentine - Loveless
Noise pop? Or Bliss? Perfect Music, just another world when you listen to it. If you don't dig MBV...I just don't know.
4) Pink Floyd - DSOTM
It's FLOYD man.
5) Daft Punk - Discovery
Poppy PERFECT dance album. Harder...better...faster...Yah yah yah. Okay. She might dig it.
6) The Clash - London Calling
The Only Band That Matters. What else is there to say. Awesome album, she'll dig the tracks and recognize a couple of em. More punk influences in still accessible music.
7) (Some sort of post-rock) Explosions in the SKy - Earth is Not a Cold Dead Place
I've found Earth to be the most accessible and well liked post-rock album out there. See if she has the patience and the palatte to appreciate intrumental but still exciting music.

Broken Social Scene - You Forgot it in People
Amazing. Canada at it's best. Never has so much come together so well.
9) The Smashing Pumpkins - Siamese Dream
Corgan achieved perfection here. He should NEVER have released Mellon Collie. Beautiful, emotional guitar album. Classic.
10) The Flaming Lips - Soft Bulletin
Perfection. Perfect pop perfection.
Ahh...and, just for kicks, give her a bonus CD
11) Pavement - Wowee Zowee
It'll take her a year to finally appreciate this album, but when she does, she'll learn why indie kids spend their time talking about who gets a bigger boner for Malkmus.