Congrats! I love my 70-200mm f2.8 II and it never lets me down. I've purchased a couple refurb lenses from Canon as well. All have been very sharp and in pristine working condition.
You won't regret it. It's a fantastic lens. Brilliant for portraits and sport. Takes the 1.4 extender really well. I haven't used a better Canon lens. I think it's the best of all (I haven't tried the 135mm but maybe someday )
It's my only Canon lens, L or otherwise, which didn't require any AF adjustments in-camera. Paired with my 5DM3 it's a freakin' dream. It almost NEVER comes off my camera!
Once you get it, try to always shoot at f2.8 - this is where it really shines.