Google Analytcs and ads are so widely that most of your browsing will be tracked regardless of browser, even regardless of your search engine (but the search engine is also quite major since they can track what you were trying to search for before jumping into the web).
But there's also a privacy policy explaining what chrome actually sends: https://www.google.com/intl/en/chrome/browser/privacy/
A company known for tracking the ever-loving shit out of everyone across the Internet distributes a best-in-class web browser absolutely for free. If that's not enough, I really hope you're able to hold on to that innocence as you start using the Internet more and more in the future.
This isn't difficult to test: sandbox default chrome in a VM and see what happens.
But they don't need to because of your point. uMatrix makes it plenty clear all your bits are belong to Google.
Prove to me that Google is tracking me through Chrome. Link me to an article with proof of collection.
Most of us our developers here, surely we can apply some more rigor to this conversation then “we know Google is doing this because it’s Google”.
you'll see your browsing history, which unless you have a preference turned off deep within settings, Google may then use to target advertising.
It's not unique to Chrome. There are additional sync options that are available to Chrome, but those are all opt in.