Whenever anyone posts a status update or generate rich media contents from the module, the activities would only appear on the page and also within EasySocial's activity stream as well.
You can post your questions on our forums and we'll be glad to help you out :)
This is not exclusive for pages or groups. This module allows it to work on any page of your Joomla site :) and it isn't tied to any group or pages.
Thank you Sabih :)