Hulu just added Doctor Who to Plus and in addition to the same post-reboot episodes which stream from Netflix, there's five from Season 7. I haven't looked at IMDB, but based on the comments, there was a break after "The Angels Take Manhattan" and right now, that's the most recent episode they have. (No spoilers please)

ETA: I see that they've also added the Sarah Jane Adventures. There's 11 streaming for free and another 36 on Plus. If they do it like they do Firefly, the free ones will rotate, but that's not noted anywhere.

I don't really know anything except who is Sarah Jane and like Torchwood (also added to Plus), it's from RTD. The blurb says it's for kids, so I'll probably watch the first one or two with mine.