The Nexus Google+ page has announced that Android 4.1 (Jelly Bean) is rolling out to the Galaxy Nexus, today. The first version to receive it is the HSPA+/GSM version, which we assume means takju and yakju variants. No love for your LTE friend yet, but as you know, Verizon will have to approve that update before Google can send it off.
Again, if you have a Galaxy Nexus HSPA+ device, you will want to jump into Settings>About>System updates and see if you can pull the update. Just like with the Nexus 7, it should be rolling out now.
Update: Here is the 4.1.1 update for the takju HSPA+ G-Nex. [Download]