It's difficult emotional work, kat, esp. in a hospice. You know they are dying, they know they are dying....and sometimes NEED to talk about it. Most people won't--prepare to have your heart broken, because you will get attached to these people. Take breaks after "important deaths".....the hospice will understand. Quite often, in a one on one situation, it is several months after a death before a Volunteer can come back for another patient.
Be brave, and try it for a while. If it takes too much out of you, you can always stop.