No it wouldn't.

Your bank, school, doctor, and government would all still have websites. Companies would still sell things online. Video calls and chat systems would be there. All the websites run by donation or self-funding would be unchanged. Without ads, the worst parts of the internet might stop existing though.

> It's not just Google, the Internet stops existing.

Uh? No?

The internet existed before being overrun by corporate presence. It still does. Advertising pays a lot, but take the ad money away and let it scale accordingly.