What would be the acceleration of free fall on the surface of the Sun?

Why, in fact, would it "become"? The acceleration of free fall on the surface of the Sun is and will be, because the Sun has mass.
Without going into detail, of which there are many on the Internet, the acceleration of free fall on the surface of a spherical body will directly depend on its mass (the mass of the Sun is 333 thousand times the mass of the Earth), and depends inversely on the square of its radius (also larger than the Earth, a hundred times ten).

If one doesn't do the calculations, which I suggest doing independently as an exercise, or one can find on the Net, the free-fall acceleration on the Sun's surface is something like 275 m/s², which is 28 times more than on Earth. If I could stand on a scale on the Sun, it would show almost two tons.