The closed developer beta version of iCloud has gotten a makeover that, at least based on the publicly available login screen, shows every sign of iOS 7's distinctive design language. You've got a flat white box with minimalist, type-centric elements over a blurred layer with a hint of iOS 7-style mail, contacts, calendar, reminders, find my iPhone, and, presumably, iWork behind it.
What's going on inside can only be seen if you've received an invitation to the beta. Since members of the general public as well as developers have received those, I'm frankly not sure what is and isn't under NDA (non-disclosure agreement) at this point, but I'll err on the side of caution and simply suggest that if you can login with your iCloud credentials, do login and take a look around.
And yes, I did try twisting and turning my MacBook around, and no, I couldn't find any dagnab parallax scrolling going on either! (Am I depth'ing it wrong?)