I don't know what "Stockholm City" refers to exactly, but it really makes little difference: all three transportation hubs downtown are in the same block: Cityterminalen, T-Cenralen Station, or Central Station. Where the commuter buses from the airport arrive, I cannot say.
There are pedestrian walkways (moving sidewalks)between these stations, so in any case, you'll have no problem going from one to another or connecting to your final destination.
Posts: 461 | Location: New Hampshire | Registered: 12 September 2006