The Verizon Galaxy Note 3 is finally getting its first software update, to build VRUBMJ7. Unlike the updates for the international variant of the device, this one is more than just a stability update – it improves the poor sound quality that users have been complaining about, and fixes a few connectivity issues. That's about it for the list of changes in this one.
The update is available over-the-air, though it could be a while before it trickles down to every device, in which case you simply need to be patient. Do remember to manually check from the Settings » About phone » Software update menu.