How can I share my Google Scholar profile with selected people only?
Presumably a profile can be public or private, not somewhere in between, so 


  I want the ability to share my profile with [a] few of my friends


this isn't possible unless you adopt an ad hoc solution, e.g., you could save the page and share by email. (More sophisticated solutions exist, for instance, you could mirror the page somewhere and grant a few friends access to the mirror, but such a solution will be time consuming to deploy.)