I generally let one of the players give a recap to anyone that needs it, with the occasional prompt or addition from me.
At my home group, I always used to write up adventure summaries from the prior session. With this latest campaign, one of the new players took those duties over. You'd think no one would need a recap, that they could just read those...but that's not the case. But I don't mind - in a lot of ways, those recaps are for me. I wish I had accounts of past adventures like that, but I didn't start the habit until the 4e era.