Well, the wait for root on the new LG G2 was not long at all. According to users on XDA, an easy rooting method for the new device on either AT&T or Verizon has been released. As a tip, you will need some simple ADB knowledge to get yourself started. If you can set that up, and after you have downloaded the proper drivers and one-click software, your device will then be rooted. After playing around with a Titanium backup process, then making sure a custom recovery is installed, users should be able to have a lot of fun with this phone in terms of hacking.
For a full list of instructions to get you started, follow the link below. And please, be careful when attempting these tasks with your new phones. Make sure to follow all instructions carefully and make backups whenever possible.
Let us know how it goes if you attempt it.
Cheers Han, Open1Your1Eyes0, and Richard!