This canal is the Kromme Nieuwegracht and as the name suggests, it’s essentially the Nieuwegracht canal after it takes a curve in front of the Paushuis (Pope’s House), which is part of the building on the left. In fact, this picture from 1900 is taken from the bridge over the canal that leads into the Paushuis.
While you may think that the Pope’s House wouldn’t change much, it actually has changed quite a bit since it was originally built in the 1500s. The actual house was much smaller than the full property that is there today. Plus, through the years, it has had a variety of additions and rebuilds of those additions. It’s more of a complex now than just one building. As you can see, there were rows of window shutters in the old photo, but when you look at the new photo (well, taken in 2013), those are all gone.
Although the buildings on the left may have changed, the buildings on the right look remarkably similar, other than perhaps some cleaning and some new shiny gold paint on that balcony. Even the stairs down to the canal are in roughly the same spot. The biggest difference is the addition of three trees in the intervening 100+ years. Well, that and the bicycles and cars replacing the people.