Does the interior surface of a Dyson Sphere exert gravity?

The interior of this particular Dyson Sphere is so large that it encapsulates a star at its center. Otherwise it is filled with breathable air which creatures can breath and fly in. I imagine that for the most part it contains a zero gravity environment, except for the areas closest to the star and to the interior surface of the sphere itself. How would I calculate these?

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Does the interior surface of a Dyson Sphere exert gravity?

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