jeremy,
If the Cable Car is going to be closed for the year, I'd be very surprised if they don't have some kind of alternate transportation arranged (perhaps a Bus). However, as the others have mentioned you should be able to drive to the area at the top of the Cable Car and park. From there you can take a Chair Lift to the top of the mountain (unless of course it's also shut down). As I recall, there's a small hotel/cafe there (Albergo Ristorante Eden) close to the Chair Lift station. There's also an older derelict hotel, which should have been demolished or renovated long ago. You can also drive to the mid-point station of the Cable Car, which is where the Alpine Gardens are located.
Looking down from the other side of the summit, there's another area with what looks like a large hotel, parking lots and a couple of the type of slides that are often seen at amusement parks, where people sit on a mat and then slide to the bottom. If you want a view of that, I can perhaps post a photo. From that side, there's a trail that leads to the summit.