Proper usage rules about weblog and blogging terms:

A weblog is the online, regularly updated presence of a person or group. Do not use 'blog'.

A blogger is a person who authors the weblog. Do not use 'webblogger'.

Blogging is what a blogger does when actively authoring for their weblog. Do not use 'webblogging'.

The totality of weblogs and weblogs as a community is known as the Blogosphere.

Ignore this information at your own peril.