How can I keep category posts on a particular page?

Hi guys,
So i downloaded a plugin called “List category posts” plugin. It uses a short code to direct category posts to a particular page.
However,the posts only appear as text links on the page I have assigned it to.

Here’s what it looks like:

#1 Viewers arrive at:
http://mysite.com/downloads/
The see a post in the form of a link like
• Post- Blah blah blah

#2 Viewers click on the link:
• Post- Blah blah blah
and it takes them to this page:
http://mysite.com/2015/01/30/my-post/

My questions are:

1. How can keep all posts on this page?
http://mysite.com/downloads/
(I know if I use the blog page template it will work, but the problem with that is it shows all my blog roll posts…)

2. Is there some code and/or simple method (I don’t know php) I can use to do this without using a plugin? I really want to keep my plugin count very low.

Thanks!