From your Planning Dashboard, find where it says "Visible to Guests?" and switch the red toggle to "Yes." Congrats, your website is public!
When this is set to "No," no one can visit you website and it is private.
You can control if you want your website to show up in Google search or Zola search from your Manage Website page. Just click View Settings:
Control search settings here under Privacy:
Read more about search engine (ex. Google) settings here.
If you so choose, you can make your website password-protected. Read more about password protecting here.