Expect a first visit that looks under and around the tub: the access panel if there is one, the ceiling or basement below, and the condition of the walls. The remodeler should tell you whether the drain can stay where it is or needs to shift for the new base.
A conversion is remodeling, and Norwell lists remodeling among the work that needs a building permit. The plumbing changes need their own plumbing permit, and the rough work is inspected before the walls close. In Norwell, permit review can take up to seven working days, so ask that it be built into the start date.
Removing a cast iron or steel tub is the noisiest part. After that come rough plumbing, the inspection, the new base and walls, and then glass and trim, with a bathroom out of service for the whole stretch.