We are taking the NCL rail and cruise trip. We have no info on getting from airport to the hotel we have to check in for the first night. Premiere Alaska Tours is in charge of the first part of trip. Do they furnish shuttle service to hotel?

Yes.

If you have booked your hotel with NCL and not as an independent traveler, they should know you are coming, have representatives at the airport, and yes they will provide a shuttle to the hotel. Look for the guest services representative (it is a small airport and easy to find them as soon as you walk through the security opening to the main terminal) and they will take care of you. Have a great trip!