No. Google is completely incompatible with the iphone.
Actually, that's not true at all. iPhone can search Google and sync with GMail, and Google Calendar and Contacts. There's even a Google app for the iPhone.
Google Earth is available from iTunes. Google provides instructions to install Google Earth on mobile devices including iPhone, iPod, or iPad. See related links.
Really google earth is not better than maps google earth on iphone/itouch is slugish and does not run very fast unless you have a good service in the area i recomend sticking to maps on your iphone...
Maps has an iphone application and is available to download at a certain price. Decide you want the application and pay for it and it is yours. It is very useful when you need to get directions.
Googling the word "Google" will give you the following results (in order); Google Google Maps Google Org "News for Google" Google Video Google News Google Blogspot Google Earth Google Labs Google's...