Let's suppose you've just been hired by Google, so you wanna say that you're very happy to be a part of the team, would you say: "I'm really happy to be a part of Google's team"? Is the apostrophe necessary here? Or is there a better way to say the thing?
A better way is to avoid understandable implied words, like the word understandable in my sentence 😀 Anyway, why say team? Its implied, just say I'm really happy to be a part of Google.
Yes, that is fine; I don't think there's a better way to say it. Yes, the apostrophe is necessary. That's the way you show the possessive case. The team belongs to Google, so it's Google's team.
You can leave out the article if you wish:
I'm really happy to be part of Google's team.
Either one is fine.