How to help a grieving friend???

I just found out, that my best friend's brother committed suicide. I've also previously experienced a significant loss when I was younger, just not to suicide. I dont want to come off as insensitive at all, I just don't know what I can do to help her. Unfortunately, she's the one to have found the body & suicide note (she didn't allow anyone else in her family to see him). But she's coming to stay with me for a few days and I just want to know what I can do to help her at all. Unfortunately, I don't live in the same area (100+ miles away) so it'll be hard for me to check on her physically. But most importantly what do I do to comfort her while she stays with me? Any advice would be appreciated, thank you. Also she's not religious so I really want to respect her beliefs.

Edit: we're both 27F, u.s.a. in the midwest