A.C.
I have not had direct experience with hospice, but my mom has been a volunteer for many years in a variety of capacities. She gets a lot out of doing what she calls "vigil" work--staying with the dying person, often at night, just to be with them. Some of them want to talk, while others can't or don't want to. But she is often with some patients for weeks or months before they pass, and she finds it a rewarding way to help the families and the dying person. She also helps plan the 2x annual memorial service that is done for the family members through the hospice service. For my mom, I think this started as a way to help other families when she was too far away to help her own parents (Grandma died of cancer, and 3 of my aunts.mom's sisters & SIL provided hospice care but my mom was not able to because she lived 500 miles away); it was her way of giving back/helping others. She has since grown past that/moved past her own grief and finds it rewarding in and of itself. If you had asked me if I ever thought that this would be something she would want to do, or should do, I'd have said no, because she has a lifelong history of clinical depression, but actually, giving of herself has made her happier and more content.
Try it, give it a chance for a few months, and see if this kind of volunteering is right for you. :)