Update 5/31/12: Verizon is pushing out this 4.0.4 update to devices now.
Galaxy Nexus LTE owners, listen up: the day you all have been waiting on is finally coming. Yes, I'm talking about the update to Android 4.0.4.
Verizon just pushed details of the update to the GN's support page, which means that the update is imminent. Aside from .4, the update also brings a handful of enhancements:
Email, Messaging & Data