If you aren’t confused by the previous pages you’d definitely be lost with this one.
The SnakeoilOS WebApp is developed using NodeJS, so you would assume the application is running on the SnakeoilOS machine. That is not the case at all. All the SnakeoilOS web files are stored on the SnakeoilOS computer. But when you connect to the SnakeoilOS machine from a browser (e.g. Chrome, Safari, Firefox), the software is copied from the SnakeoilOS to your browser (this can be on your PC, MAC, tablet, mobile phone etc) and then the software is actually running on your device and not the SnakeoilOS PC.
This is called client-side scripting, and this is a big change from SnakeoilOS 0.1.x (100% server-side).
This whole approach is counter-intuitive, but it works out really well in practice.