See how to add a SharePoint list or library to a site with this end user SharePoint Tutorial. this example shows how a contact list is added to an existing SharePoint site.
SharePoint lists and libraries are not just something you can create and use in SharePoint. They are the way how data is stored in SharePoint independent if it's user generated content, configuration files or pages of a website.
Lists and libraries are available in SharePoint 2013, 2010 and 2007 (and even in earlier versions) and come by default with useful features like check-in / check-out, versions or permissions.
Lists and libraries have columns where each columns has a certain type like text, number or date & time. Columns can be grouped to types of content called Content Types. They are bound to a list or library so each list (or library) represents a certain type of content you can store in it.
Views are used to represent the contents of a list in a way that it can easily be received. Views e.g. allow to show only certain columns while hiding others.
How to add a SharePoint list or library to a site
Go to site actions and select more options. Select a list or library based on a template and create a new list or library.