Hi Lars!
By default it isn’t set up to work in that fashion. It’s certainly possible to customize it though so that for instance week view is shown by default (and perhaps even is the only available view) and you could even set the calendar to “fast forward” to whichever week/month contains the next upcoming event – though I would highlight this last idea would have to be implemented as a customization and you’d need fairly solid WordPress development skills to implement it. Certainly possible, though.
Does that answer your question?
Thanks!