Click the new settings button, then "Options", then a tab called "more" and directly under that is an option that says "set and keep search settings to Google". Untick that and your default "search" isn't locked to Google, and the running process goes away. It is ticked by default. I don't want my toolbar passing out out info or updating without me knowing, and I unticked it. The Google Toolbar will warn you that another application may try to become the default search engine. I'll take my chances. The new and improved version of the Google Toolbar has some real benefits, and is easy to set up to your preferences, but I think the "always on" communication is just another security risk that someone will try to exploit. If you agree, follow the above instructions to get rid of "Google Toolbar Notifier", and still enjoy your Google Toolbar.
Johanna