Wail Watching

My roommate just found out her ex-fiance is terminally ill and is likely to pass away soon. Though they had a weird relationship, I can tell she's taking it pretty hard. I really want to be supportive, but I honestly don't know what to do or say around a grieving person. I'm worried about saying the wrong thing, especially because I'm really uncomfortable with grief. I told her I am here for her if she needs anything. What do you do and say for a person who's in such a terrible situation?

--Cl...