In reply to Duncan Mackay:
The snows clearing fast with the current warm and wet weather. However you're still likely to encounter some on the higher north facing sections during late June. Whether you take crampons is ultimately personal preference. If you're willing to divert occasionally you'll get away without them. If your set on certain routes it's probably a good idea to put some in. If your keen for Punta Anna / Lipella / Alleghesi or similar high via ferrata you will probably need a walking axe and rope as well.
I hope that helps a little.
Enjoy your trip!