This is not specific to The Netherlands, it holds for all EU member states that did not already have laws declaring downloading of copyrighted material illegal.
So essentially I'm not allowed to download a movie, but I'm allowed to load it in my browser and watch it later.
However! If I copy the file from the browser's cache to another directory, then that's again illegal. I find this puzzling, but then again, I won't be the one who complains for having a loophole (or is it?) that allows me to download any movie without fear of retribution.
[1] https://torrentfreak.com/viewing-pirated-streams-is-not-ille...