I must see a listing of all of the openly accesible links on my small website and so i know which pages a person can access. It is possible to website or application which will crawl this site and display similarly info?

If your internet site is already online you may get that information using Google Webmaster Tools. You might just search for site:http://www.yoursite.com on the internet to obtain a listing from the pages which were indexed.

You can test managing a recursive wget (by passing the -r option):

wget -r http://www.example.com