Display category on a page

I have searched for this answer and I don’t think I am describing it correctly to find what I need. I don’t think I am the first to need to figure this out.

I would like to display a category of post on a page, with the first post listed completely, with the next 4 posts listed in an unordered list, and then have the pagination still work.

All I have found for this were written before WP 3.X so I think the answer has changed. Any help on this or a link to the answer would be appreciated. This will be for https://rrea.com but don’t have anything to show you yet.

Thanks in advance.