This is Emily and Henrietta, what they are doing is “canine freestyle” which they do with the Musical Dog Sport Association. The mission of the Musical Dog Sport Association is to “advance the sport of canine freestyle and to share the joy of the canine/human bond achieved through positive training, enhanced by the artistry of music and choreography.” This stuff is fantastic. The video is a bit old, but it’s worth it, I promise.
And for your viewing pleasure, here is Elizabethanne Stevens & Alexandra. You’re welcome Internet.