In the bowl of an electric mixer, fitted with the whisk attachment, whisk the flour, water, and yeast until combined. Remove the whisk attachment, cover the bowl with plastic wrap, and place it in a warm place until tripled in volume and bubbly (~ 2 hours). I do this in my oven, with just the oven light on.
Add the salt to the bowl. With the dough-hook attachment, mix the dough on low speed for 5 minutes. Raise the speed to medium, then mix for another 30 seconds. The dough will be loose and sticky. Just go with it.
Generously flour your work surface, and scrape out the dough onto the surface with a dough scraper. With the dough scraper, fold the bottom edge of the dough up toward the center, brushing off excess flour from the surface. In the same way, fold the top edge toward the center. Fold the right, and then the left edge toward the center. Pat down gently. Flour a medium bowl, then swiftly scrape the dough into the bowl. Do this boldly, or you will end up with a mess of dough half in the bowl, half on the counter. Cover the bowl with plastic wrap, and leave it to double in a warm place (~1 hour).
Turn out the dough on a floured surface, and repeat the folding process. Again, swiftly scrape the dough into a floured bowl. Cover the bowl with plastic wrap, and leave it to double in a warm place (~1 hour).
Preheat the oven to 450°F with a large baking sheet on the middle rack. Grease and line an 8×8-inch glass baking dish. Pour the 40 mL olive oil into the dish and spread it around so that it is fairly even.
Scrape the dough into the prepared dish. with greased fingers, spread it out so that it fits into all the corners and is evenly spread. Cover with plastic wrap and let stand 15 minutes to rest (if the corners recede, push them back with greased fingers).
Drizzle dough with the remaining tablespoon of olive oil, sprinkle the cherries over top, and scatter the apricots slices. Top with a generous sprinkling of coarse sugar (you can use more than 1 tspb, as you wish) and the rosemary.
Place the baking dish on the preheated baking sheet in the oven, baking for 30 minutes, rotating at about 20 minutes if necessary. Immediately run a knife around the edges to unstick them if they are stuck, as soon as you remove the dish from the oven. Let cool and serve warm or at room temperature, with an extra sprinkling of course sugar. It is best eaten the day it is made.