That makes no sense. Search is more like a map or address book or perhaps a pamphlet station. What they choose to prioritize/display is inherently editorial. Why should that powe be given to the government?
They exist but it's been a long time since mapping were an exclusive privilege - which is to say a government search engine might make some sense but favouring it with funding to the extent of roads likely doesn't.
[0] https://en.wikipedia.org/wiki/National_mapping_agency