The Hague is not exactly a hopping centre of night life. As you would expect from a city filled with politicians, jurists and dipolmats. Though you can certainly feel the money in the city.

I spent a long weekend in The Hague last year. It is mostly a pretty little city and is very walkable. The view of the Binnenhof buildings at night reflecting in the "Court Pond". Then strolling through the "Het Plein", "Grote Markt" and the "Buitenhof". Lots of little cafe's and bars will be found

If you stay there at all over the weekend then a wander round the Van Meers etc at the Mauritshuis or a walk along the nearby beach at Scheveningen

http://www.mauritshuis.nl/