I don't think most people think of dinner parties as needing to fit a specific "format," so maybe that's why Google is useless here. Most people (I think) consider dinner parties in roughly the same way: a gathering a friends (who may or may not all know each other) for dinner.

There can be details of whether you want to serve drinks before dinner, but I wouldn't call it a "format" in the same way as the Jeffersonian Dinner Party is.

When I Google "How to host a dinner party" I see lots of articles giving advise. I would recommend, though, if you're new to it, to just invite a close friend or two to dinner. Then it's a "dinner party" without any formality.