A cousin in Vesterålen sent a picture he took at midnight on summer solstice...his kids were playing in the yard and there were shadows like one would see in late afternoon here. I guess you wear shades to bed like Roy Orbison.
My only experience with something like this came in St. Petersburg, Russia in August, where they don't quite have sunshine at midnight but they have this weird dawn-like glow in the sky all night. My hotel room came equipped with thick dark curtains, which I definitely needed in order to sleep.