Only latest Post Link to archive of category

Hello together,

I want to achieve the following:

• I want to have a page which only displays the latest article of a given category (should look like a page).
• On the bottom of the page should be a link to an archive, which contains all old articles of the same category.

This problem sounds pretty easy, but so far I haven’t been able to find a solution :/.

Thank you very much!
Chris