On a hot water system, expect checks of system pressure, the expansion tank, the circulator, and air removal. On an oil boiler, a contractor will typically change the nozzle and filter, test combustion, and inspect the chimney connection; on a gas boiler, they'll check ignition and venting.
Replacing a boiler in Sharon means a permit: the fire department's oil burner form for oil, or a gas permit and an afternoon inspection through the Building Division for gas. If the old boiler also made your hot water, the contractor should explain where it will come from afterward, whether an indirect tank, a separate water heater, or a combination boiler.
In older Sharon houses, the visit may include a look at radiator piping and valves. Old systems can often be balanced and given zone controls without pulling out cast iron radiators that still work well.