So, I'd like to have a functionality to move on to the next scene by pressing the button on the google cardboard; however I can't find a way to do that... Is there an HTML5 API that I'm missing here? Is this possible at all?
Try looking down to the right....you should see forward / back arrows and you can select them with the button on Google Cardboard. You can also just "dwell" on them and the scene will advance or go back.