Had standing room on the monster in 2004. Have to say it's an experience more than anything. Agreed that left field and much of center is an obstructed view.
If your daughter is just gonna go in for one game all season, then it might be worth it for the experience. But as mentioned, you're gonna pay heavily for getting actual seats up there.
For me, I'd rather just crap cheap seats in the bleachers, but I've also been to a couple hundred sox games so where I sit doesn't matter to me all that much.