I've heard nothing about Google suffering a data breach, and would be very suspicious of such messages from a pop-up. The first question you should ask is "which app produced the pop-up?", and if it's not your AV app or something you installed specifically to monitor reports of data breaches I'd be very suspicious.
Now to be clear, the screenshot you show doesn't say it's a Google breach, and as I don't use Chrome at all on any platform I'm not familiar with what messages it might legitimately post. But a browser is the single simplest thing to post fake reports through, and I can see that site isn't using https either. Personally I'd revisit the sites you changed the password for and see whether you can change them again; go directly to the sites, not through a link from a page produced by a pop-up, if the new password doesn't work try the old one, and if you've used either password on other sites be prepared to change those too. Hopefully this is being paranoid, but this sounds very fishy to me.
For what it's worth, the pop-up itself need not mean you were hacked: malicious scripts disguised as ads could do such a thing, and I could easily imagine a script that checked your cookies to produce a list of sites you visit which it could list as "hacked". But if you followed links from such a pop-up I would not assume that what you typed remained private.