Let me preface by saying two things: first, I LOVE Glamour; second, I took classes where we analyzed why magazine covers are designed a certain way, so I can be a little opinionated (read: insanely obsessed) about it.
I really love the way Glamour's logo has a shadow background now and is a little bigger. It makes it more chic and fits their perspective more. Before, I did notice a small disconnect between the cover and content. It's really important for the outside to match the inside if you want the right readers. That's actually a reason they changed it, since they're looking attract the younger audience.
Unfortunately, I don't like the placement of the cover lines. What bugs me about a lot of smaller market magazines is that they place lines in what seems like random places and it can be hard to see things at times. I think if they're trying to go minimalist, they should go big or go home. Just have a the logo and the white type about Amanda Seyfried. Maybe they could have cover lines on a special inside page cover with a different photo of Seyfried? Or just let the cover speak for itself? I could go on about possible alternatives all day.
I'm no big expert, though. And, honestly, I'm still going to be an avid reader. I mean, it's GLAMOUR! I definitely have my opinions, but their reputation speaks for itself.
To get a better idea of the change, this is what it looked like before: