Yes, does the Hotel provide transportation to Gare de Lyon, and how far is the station from the Hotel. If so, is there a cost? Merci!
Gare du Nord is about 20-25 minutes north of the hotel. You can have the doorman call you a cab or if you use UBER, it's quick to get a response and UBER is all over the place in Paris.
p.s. Hope I'm not too late in responding to you, but your question just now popped up on my Trip Advisor site. Sorry.
There is transportation provided in one of the packages with a seven night stay. For a shorter stay, the hotel can arrange car service for an additional price. I don't know how far the hotel is to the station, you can likely look it up.
Get an answer from Hotel d'Aubusson staff and past guests.