The organization browser is designed to show a user's position in an organization chart based on their user profile information, and in particular the various reports fields that record the management relationship between individuals. This web part is normally rendered in a user profile page.
You require the SharePoint Server 2010 Standard SKU. You probably won't find it offered in the web part gallery by default, but you should be able to track it down if you use the "Add new web part" dialogue by clicking on the New button in the ribbon. I must admit I have never tried to use it outside the context of a user profile page.