Groningen is quite a ways from Amsterdam, but it's basically a college town, so I think you would survive spending some time there. Leeuwarden is a nice town too, a little more backwaterish, like the entirety of Friesland.
It's fascinating how countries, no matter how small they are, adopt the same perception of regions and distances as big countries. So in UK terms Friesland would be the Dutch Lake District and Groningen would be Scotland, or North Dakota in American terms. Just like Limburg would be Florida. People would say, you're going all the way to Groningen to hear an organ recital? even if they lived in Amsterdam.
I have a hard time believing someone would take planes, and trains, to get to an organ recital, but I guess it takes all kinds...