Yes, it is free. Also, Google Sites do not use storage space, though if you have images, documents that you put into the Site, they can count against the storage.

You can customize the way your search results appear by configuring your Google global preferences, options that apply across most Google search services. To change these options, click on the Preferences link, which is to the right of Google's search box, or visit www.google.com/preferences.

You're never more than a tap away from your data and settings. Just tap your profile picture and follow the link to “Manage your Google Account”. From your profile picture, you can also easily sign in, sign out, or turn on Incognito mode.