Given my own personal background, I tend to imagine gods looking like their appearance in Greek or Roman statues, perhaps updated to fit the science fiction depictions of superior beings that I've also been exposed to over the years. Various "Star Trek" episodes tend to come to mind in my case, particularly "Errand of Mercy" which seems almost as if it was written to address this question. In that episode the god-like examples were portrayed as old men, however, and I don't necessarily see the "old" part as appropriate. (This picture will refresh the memory of those who have seen it.)
To keep it consistent with the views that the Epicureans talked about, I would see a group of beings like that living with absolutely no burdensome work to perform, but still active in an Olympus-like environment, dealing with each other absolutely happily and with no conflicts, and never growing older or subject to disease or death.
I agree with Twentier's first post that as a practical matter it would take a path of technological progression to reach that stage, and that most of the way along that path there would be "work" involved to maintain the machinery to keep the environment safe. And if there is an indeed an issue that the gods are deathless but have not been eternally immortal, then there would be some kind of activity that they are involved in which would maintain them in their state of happiness and security, even though they would not consider that maintenance to be "work."
But in imagining gods of any appearance whatsoever, the core requirement is to see them as totally blessed and imperishable so that they are in no way interested in our human activities, so it's hard to imagine what kind of activities they would find most fruitful to them. So long as that core requirement is maintained, I would expect that we're right in the middle of one of those exercises where "multiple possibilities" have to be entertained, meaning that we have to be satisfied thinking of options but not choosing only one as the only possible godlike way to spend your time. It's easy to understand the point that each person or being is going to have their own history of exposures to different people and depictions and that they will develop their own mental pictures of such beings.
The difference in mental depictions however does not mean that real beings that fit the general descriptions don't actually exist. I have in my mind right now a picture of an average Englishman or average German or average Russian, and just because my mental depictions don't exactly match what I would see if I actually went to England or Germany or Russia, that discrepancy does not mean that Englishmen and Germans and Russians don't actually exist.
The exercise involved in thinking about how such an existence might operate is probably the most beneficial aspect of the exercise, as a means of seeing how we might incrementally adjust our own experience to come as close to that "superior" way of life as we possibly can. It's a way of visually thinking about the question: "How might I reorganize my life to live better given my own circumstances."