If Polaris is Earth's North Star as it is directly pointed at by our North pole, what would be the North Star of the Sun?
The North Pole of the sun points towards the constellation Draco. There is no bright star close to the North Pole of the Sun. The closest fairly bright star is Delta Draco, "Altais". A magnitude 3 star.
The other marks on the image are the "North Pole of the planets' orbits" The Earth's rotation is inclined by 23 degrees from its orbit, so the Earth's rotational North Pole is not the same as the pole of its orbit.