When Google made their mistake with Street View cars, they made to to point out how serious they take privacy. In that blog post, Google’s Alan Eustace, Senior VP, Engineering & Research said:

Right now, if you go to https://www.google.com/ you are redirected to the non https version, http. Even if you try appending a, https://www.google.com/search?q=google, to a query you, are redirected back to the main non-secure Google search.

This may change according to Google’s own words. Exactly how Google will release “an encrypted version of Google Search” is not clear. But it should launch this week, according to that post.

Forum discussion at WebmasterWorld.