On a desktop computer go to the author page that you are wanting to follow a little closer than Facebook is allowing you. Click on the LIKE button to see the below menu. (See image below)
Click on the 'Posts in News Feed' button. (See image below)
Under the News Feed tab click 'See First'. This allows those pages to be some of the first you see in your news feed.
Click on the notifications tab and check all of the boxes you want to see first. This even allows you to be notified when the author hosts an event. Once you are satisfied just hit done and you have successfully ensured that you will see what that author is posting. .