And Ubuntu is a Debian derivative, so...
Actually, the WeeWX package only has a few extra Python 2.7 dependencies that should be a part of the standard Kubuntu repository. I am using WeeWX 3.1 on Raspbian Wheezy for the Raspberry Pi and while it is older, there were no issues with the available packages. I think that Tom has done a good job with a portable package which isn't always easy.
Follow the
Debian instructions. Also, there is a Google group/mailing list for WeeWx users which is another good resource.