If you’re a Facebook user, at some point, you’ll want to evaluate how public your individual Facebook profile is. There are three types of settings you can choose - Public (default), Hide Your Profile From Search Engines and Hide Certain Parts of Your Public Profile*.
Here’s the official Facebook instructions to hide your profile from search engines: What should I do if I don’t want search engines to link to my profile?
And this is how your profile will appear if you’ve chosen NO (Hide Your Profile From Search Engines).
*These section settings are configurable by editing individual sections of your Facebook profile.