If Google entered the education business its shareholders would (rightly) wonder what its competitive advantage in that market would be, and whether the margins (return on capital) would be more or less than its existing businesses. Seriously, what could Google bring to the table here?
Education has followed an industrial/factory model for many decades, with few exceptions. The founds of Google went through one of the exceptions: Montessori.
We need to update education, and a tech company is the right place to start. A simple example: build a natural language query system to allow a child to get any question answered immediately. May as well call it 411-GOOG 2.0
These issues are very much related to how google makes money today.
Given the Google preferred-voting structure, shareholders should know they're going to be subject to a lot of the owner-manager's whims in trying new projects and markets. Like their for-profit philanthropy subsidiary, Google.org. Or even in-sourced daycare project itself, rather than contracting it out to established providers.