To answer my own question: The hotel does offer a shuttle service from the airport, but you have to call the hotel when you arrive and you have to speak Chinese. The staff at the normal information desks at the airport don't have outside lines and were no help. But if you go down to the bottom level, right in front of the entrance to the metro rail station there is a hotel bookings counter. The person at the hotel bookings counter does have an outside line, and the person I got was willing to help me. She called the hotel, which sent someone to pick me up right there. The shuttle itself leaves from outside Door 13 on the departure level, second kerb, but if you haven't called them and don't speak Chinese I don't think it's possible to flag them down. The hotel itself is a 10-minute drive from (or rather around) the airport, on the opposite side of the airport from the terminal.