How to make the SEARCH page Private or Restricted

Hiya guys’n gals.

Question on How to make SEARCH page Private or Membership Access Restricted?

Or make a new page that is Private and holds the SEARCH template, but I cant find the template anywhere.

Yr probably asking why lol, no one really needs to know why.
Im making a site that has memberships that need to make a private listing that only ADMIN can see, dont ask why. All need is the info on how to do it.

Thanks guys in advanced