SSL makes a difference.
See correction below:
Google doesnt care, but it may be a waste of your bandwidth.
The common approach is to use non SSL on pages where data is not entered into forms or form values are processed and SSL on pages where they are.
Google sees an
http:// request as the same. But will see the
example.com as two seperate sites.
Most sites just use the
Correction - 1/23/15
as of August 2014 Google prefers