How to connect/link Category to Pages

Hello Friends,

This is my website StartupProficiency and I need to understand one thing that HOW CAN I CONNECT/LINK CATEGORIES TO PAGES so that whenever I write a post into category, it should appear on the assigned page automatically.

At current, I have categorized my posts and displaying Categories on the homepage instead of a page and due to this I’m unable to update the pages to google or other services and whenever I display pages on homepage, it shows error message “404 page not found”.

I don’t think that Permalink is going to help me on this.

Could anyone guide me please.

Amit