For those folks that are able to score their VZW Galaxy Nexus today, they will be receiving an OTA update within a couple hours of activating their new phone. The update will bring their OS to version Android 4.0.2 and build ICL53F. It actually brings a few features along with some fixes and improvements. Here's some of what it introduces:
  • Optimized 3G/4G data and Mobile Hotspot over VPN
  • Improvements to the visual effects feature associated with the phone’s front-facing camera
  • Visual improvements to the handset’s lock screen

Here is a link to Verizon's .pdf instructions on the update: VZW - Samsung Galaxy Nexus Update Instructions

Source: PhanDroid