It is possible to use Lubuntu without installing it. In a live session your computer is running off a bootable media (USB or DVD). The live session can also be used to install Lubuntu.
A good example of when you would use a live session is if your computer turns on and won't boot, you can run the live session. You could then mount the disk and backup all of your pictures or send an email. If your hard drive or SSD is no longer working, you can boot a live session and then order replacement parts. You also can feel free to try different things out in a live session and not worry about breaking your install. A live session is also useful to see if you have misconfigured something that broke it or confirm that is a problem always without configuration changes.
A live session will not save your things to disk but will not by default mess up your installed system. This is not the case if you mount your filesystems on your disk and write to the disk. By default the live session uses UTC as the default time zone.
