Unfortunately, it doesn't show how to do this, plus it's several years old, perhaps things have changed? Vuforia?
Any suggestions what would be the easiest way to do something like augmenting a circuit to show component information?
You're a new user, so welcome. That also means you don't have a posting history to see much about your background knowledge and experience.
The short version is that they used an AR package in Unity to detect items shown in the computer's camera, and then used Unity to draw on top of the items in a Unity scene. You can do it yourself by getting Unity, obtaining a AR package (there are several available), and then using the package to figure out where things are. Once you know that, write appropriate code in Unity to display the overlay.