Dresden doesn't hide that much of what you'll photograph is a reconstruction. In February 1945 British and American bombers wiped out the Altstadt, and the city that stands there now is a mix: the Frauenkirche rebuilt stone by stone and finished in 2005, the Zwinger and the Semperoper rebuilt by East Germany in the decades after the war, and whole streets of baroque-looking houses on the Neumarkt that went up this century. Before all that, Augustus the Strong and his son turned a provincial capital into the "Florence on the Elbe", and the art they collected is the real reason to come. Raphael, Vermeer and a treasure vault full of gold and rock crystal are all still here.
It's also a good city to simply be in. The historic center is compact and walkable, the river runs right through it, and across the water the Neustadt has courtyards, cheese counters and bars that stay open late. The rhythm is museums in the morning, cake in the afternoon and either an opera house or a beer hall at night. Five days is enough to do that properly and still get out of town for a day among the sandstone rocks of Saxon Switzerland.
Day one is the rebuilt old town and the Green Vault, day two the Zwinger, the Old Masters and the Semperoper, day three the Neustadt, day four the day trip to the rocks and the fortress at Königstein, and day five the park, the Blue Wonder bridge and the Elbe slopes. The closing days decide when to start. The Royal Palace and the Green Vault are closed on Tuesdays, the Zwinger museums and the Hygiene Museum on Mondays, and the Dreikönigskirche tower on Mondays and Tuesdays. Start on a Monday and everything lines up; only the Albertinum is shut on day one. Other starts cost something: Wednesday puts the Saxon Switzerland day on a Saturday, Thursday puts the Hygiene Museum on a Monday, Friday puts the Neustadt day on a Sunday and Saturday puts the tower on a Monday. Avoid a Sunday or Tuesday start. Dresden feels different from the Germany of the Rhine and Bavaria: more eastern and more open about its scars. For the wider picture, see Germany.