Note: There is a related question about illuminating such a sphere that inspired this question. I'm going much farther, though, this is not a dupe.
The Dyson sphere will be the central mass of the system, stars will orbit it. (Ignore the unobtainium needed to build the sphere.)
Now, trying to get an even energy level across the whole sphere is going to be quite problematic so I'm envisioning something different. The areas that get the most sunlight will be uninhabitable due to heat, likewise the areas that get the least will be uninhabitable due to cold but there will be Goldilocks zones in between that are inhabited but mostly isolated from each other. I'm trying to make these comprise as much as possible of the surface and be as Earthlike as feasible.
Assume the builders can control the stars well enough that long term stability is not a problem but they must be in orbit.
Also, what will the truly massive nature of the world do to the weather? There will be seas but no world-spanning oceans like on Earth. Also, the rotation rate will be too slow to matter for weather purposes. (Rotation will move the habitable zones around the planet, it must be very slow.)
Finally, I think the mass of air will cause the suns to fade in/fade out rather than coming above/going below the horizon. I'm stumped on figuring this out, though.
As for the option of weather control--no. The builders are long gone, only their most major works (with the best self-repair) remain. Besides, I want the landscape chopped up.