I think you're under estimating the importance of Google on the internet. Sure if search were to fail we'd find a way, in a probably worse off over all internet.
Google also provides gdocs. The only good competitor to Microsoft office. Tons of businesses are extremely reliant on gdocs. It's cloud base infra would make it's loss more painful than the loss of ms office. We'd also lose drive, which is heavily integrated into a lot of web apps.
We'd lose their support on android. While android would survive it would he a detriment to the software. Especially future features. As well as it's tight integration with non phone devices.
Google is a major funder of a long list of FOSS applications. It would seriously damage FOSS software.
Google runs YouTube.