Does it make sense to look for domain with 'google' inside, i.e. mygooglesite.com or ilovegoogle.com? Should this site be related only to web business? Will this be a problem with Google (penalty, low PR, bad SERP, etc.)? Can this magic word improve site traffic, SERP, PR, value because of "high value" keyword? Do you have any experience in this field?
Well it certainly is a TM. Google though,seems to be a company that does not crack down as much as some of the other TM holders whose threatening legal letters and lawsuits you read about frequently. .
Oh, just use the search box, funa. You'll soon find your answers... ...unless you're really prepared for the potential consequences, given that the big G is one of the most uniquely famous marks on the planet. And no, just because others are doing it and seemingly getting away does not mean they will get away with it. Not everyone gets caught for speeding, but those that do tend to pay a high price.
I think you can't have domain names with google in it, it's trademark registered to Google and will charge you legally.