With the caveat that fellowships vary significantly between one another, most of the ones I've gone to follow the pattern of:
show up, prepare some coffee/light snacks,
as soon as a critical mass of folks have arrived, sing a short welcoming hymn,
brief discussion of happenings since the last meeting (ie, which scholarship got the most votes to support last time, so that's the one we'll fund, etc),
main service, usually someone giving a talk about some aspect of what they've done (ie, my father was a diplomat focused on human rights, he would talk about a few select issues, and how things did or did not work out)
discussion following the presentation, with a focus on the morality aspects (it is a church meeting, after all)
passing of the hat to fund stuff like scholarships & pay the minimal expenses that come with meetings
closing hymn, everyone says goodbye with a smile.
So it's a lot like a nominal Christian service you'd find in a lot of churches across the US, with the difference being that the actual God part of the discussion is greatly minimized, and the social aspect emphasized. I genuinely enjoy going.