Divide the dough into 2 parts.
Roll out the first part of the dough on a lightly floured surface (I like silicone rolling mats). Cut out rounds with pierogi cutter/biscuit cutter/a glass. The dough should be rolled out thinly. If the dough is hard to roll out, set it aside for about 5-10 minutes to rest.
Gather scraps, cover with plastic wrap and set aside.
Make the filling: In a medium bowl, stir the blueberries with sugar and flour/corn starch. If you have regular American large blueberries you will need less flour (or even none if they are not juicy) and if you have frozen blueberries or wild smaller blueberries (European blueberries) that are very juicy and break easily, you will need to add more flour. Make the filling directly before filling pierogi, don't leave the blueberries in sugar for too long or they will release juices.
Scoop some filling with a teaspoon and place on each round.
Fold the dough over the filling to create a half-moon shape. Press edges together, sealing and crimping with your fingers.
Place the pierogi apart on a towel lightly sprinkled with flour, cover loosely with a kitchen cloth so they don‘t dry out.
Repeat with the remaining dough.