Google have SSL available but if you go to
https://www.google.com you will be redirected back to
http://www.google.com.
If you go to a results page on SSL, you are redirected back to
http://www.google.com. Not even your results page... the Google homepage. That's a bit rude.
As far as I remember, the URL is not encrypted in an SSL connection so there wouldn't be any advantage in using SSL for a search. Someone who wanted to see what you saw would simply need to request the same URL themselves.
If you were thinking of sending your Google cookies encrypted, I think you would be better off not accepting them in the first place.
Is there some other advantage of using SSL for search that I haven't thought of ?