Stupid question..but how to get a page to display a group/category (or all) of posts?

Hello

I am trying to come up with a site that would have multiple pages

This is incredibly stupid and I feel foolish asking...but....

Categories

News
Events
Club

...I would like to give an option for the index page to display most recent posts
a News page to display News
Events page to display events
Club page (PW protected or via members) to display posts under club category.

This will be used on a multisite setup, but display only that specific sites blogs under those categories.

What would you suggest I use?