I have a Public SharePoint Online site?

Yes. Yes you do. Well, if you have Office 365 and it is part of the license which you purchased. You didn’t have to do anything, you have a public facing (anyone on the internet can hit it just like a normal website) website.

Where is it?

It’s easy to find. Go into the SharePoint Online Admin Center

Select the first link on the left side navigation (the default) site collections

And in the listing on the right side of the page, it will be listed first under Public Website

The default URL will be http://yourtenantname-public.sharepoint.com.

And if you go there…You’ll see a nice SharePointy and Cloudy site…

Oh Cool! Now I can create a website like Ferrari in Office 365/SharePoint Online????

No. As of yet, SharePoint Online in Office 365 does not contain all of the super awesome Web Content Management and publishing controls that SharePoint 20XX on-premises does.

Oh…

Yep.

Ok, the public website is enough for my needs, can I create more than one?

No. Once you have one created, you cannot create another one. It will appear greyed out when attempting to create a new site collection.

Oh…

Yep.