Drag on the empty area around the cube to rotate the view. Swipe on a cube face in any direction to turn the corresponding layer. You can also use the quick-move buttons at the bottom (U, R, F, etc.).
Yes! Press U/R/F/L/D/B to rotate the Up/Right/Front/Left/Down/Back layer clockwise by 90°.
When all 9 stickers on each face are the same color, the cube is solved and a celebration badge appears.