Publish sites to a specific audience in the new Google Sites
What’s new: Some sites aren’t for everyone. That’s why we’ve made it possible to specify exactly who can view your content in the new Google Sites.
To publish your site to a specific audience, select the “Share with others” icon and change the Published settings to “Specific people can view when published.” Next, add the individuals you want in the “Invite people” box and select “Can view published.”
This feature is available now on the web; it will roll out in the Google Drive Android and iOS apps over the coming weeks. For more info on publishing in the new Google Sites, visit the Help Center.