Well, Blender has changed a lot since that, there’s no more layer system like in the olden days, now is all about Collections. You can do a couple of things… you could download the Blender version that is being used in the course so you can follow along peacefully. For that you can go to Blender.org and hit the “Download Any Blender” button. Linking you up here:
https://www.blender.org/download/previous-versions/
Or you can watch this course which lists all the changes Blender went when it made the big change:
https://cgcookie.com/courses/moving-from-blender-2-7-to-2-8
Or you can watch all the fundamentals first, get used to Blender so when you see an old tutorial you know what to look for, even though is not in the same place. Here’s a playlist of the Fundamentals:
https://cgcookie.com/playlists/15-track-the-fundamentals-to-become-a-skilled-blender-artist