This is a small guide to install Lollipop 5.0.2 update to your LG G2 D802T(For other variants,it can work too). I installed it today, and the process was extremely simple! Keep in mind, this is the OFFICIAL update, so before you proceed forward, make sure your device isn't rooted , and is running the stock OS!
Shall we begin?
1) Download the attached zip file.Extract the attached zip file, and install the tool.
2) Run the tool. Click on "USB drivers" option on your left. It will download the driver's setup files(I had to install two).
3) Install all the drivers.
4)Connect your phone to your computer.
5)The tool will start searching for the update. As soon as the search finishes, it will show "New software update available".
6) Click on "Start upgrade" option on the left.
7) That's it! The software will automatically download and install the lollipop upgrade for you!
Keep in mind that during the installation, DO NOT unplug your phone from your pc,as your phone might get bricked(In English, screwed)!
Keep patience too, since the file is HUGE, and might take some time, depending on your Internet speed. I have a fast internet connection , and it took me totally about 47 min to download and install.
UPDATE: I tested the battery for two days, with some heavy use and got a screen on time of 6 hours+, and was left with 8 % battery! The battery life has improved pretty significantly !