"Heeft deze regering veel goede dingen gedaan?"
Translation:Has this government done many good things?
regering means de personen aan wie het bestuur van een staat is opgedragen so it's the (current) administration who governs the country/state. I'm not too sure about the difference between the UK/US government but I would guess the British version is about the same? e.g. the Labour government bla bla, while the US version would then be more along the lines of the total system in place for governing the state/country (e.g. federal government)? That would be overheid in Dutch
I could be wrong, but I think Brits use the word government to describe the current ruling administration or parties. Here in America, we use the term to refer to the overall institution itself.