Google what, and where in Firefox?

1. You can set your own Homepage.
http://support.mozilla.com/en-US/kb/How+to+set+the+home+page

2. You can remove thew Google search engine from the Search bar, thru Manage Search Engines...

Google is a company, they cannot be deleted by the user. It is also the common name for Google.com, and you cannot delete that unless you own the place or have CONSIDERABLE legal or social influence.

Please clarify what you are trying to get rid of, as with no information provided, no one can be much help unless we hit on a lucky guess as to what you are talking about.