Sure Google is a lot more than search at this point, so it's not the right mission. Though, I would say "organizing the world's information" is at least one of the right missions for the company.
Funny enough - Satya Nadella introduced a new mission statement at Microsoft shortly after he became CEO[1].
It's pretty anodyne, but by design - it's a way to push the company towards different ways of operating by creating a pretext to say "X project is part of the new mission and here's why" from a top-down perspective.
It sounds pretty generic for me. I mean, Google sells productivity tools and services. "Improving productivity" is just table stakes, not something that's a useful mission statement. Vague or overly broad mission statements are pretty much the same as no mission statement at all.
