Assistance with Facebook Graph API

I am in need of assistance setting up a Proof of Concept, interacting with the Facebook Graph API. Per my current understanding, a Facebook App can access any information on public Facebook Pages, but only after the application is "Live", and has undergone a review by Facebook. Prior to a Facebook App going live, it is my understanding that only the Admins of a Facebook Pages can read information off this page via the Facebook Graph API. I have tried completing this Proof of Concept myself, but I am hitting some roadblocks, and I believe my understanding of Access Tokens, and how they relate, needs to be improved. For example, how do User Access Tokens relate to Page Access Tokens. I'd like someone to help me with setting up a PoC, for a Facebook App I created, to be able to read all public information for a Facebook Page I also created. I am an Admin on this Facebook Page, and I want to be able to make a call to the Facebook Graph API to see all Posts made on the Public Page, as well as the names of all users who reacted to each post. I need someone who has experience with the Facebook Graph API, not someone who is interested in learning. I need expertise now.