Sorry not sure what else to call it, "girly talk" seems to fit the bill (don't want to cause any offence). In a previous post I mentioned about having listened to quite a lot of Mandarin spoken by young Taiwanese women at one point. I put considerable effort into listening to this kind of thing a little while ago but I think once I get to the point where I can understand most of it I will have to stop (or go insane ;)).
If you investigate other videos posted by this YouTube user you will find more than enough "girly talk" to keep you going. Other types of talk that merit some ear training are: little children talk, old people talk, north versus south, Beijing talk and news presenter talk. I am sure that there are many more to discover.
BTW what is with the cutsy expressions? Every Taiwan girl on TV seems to need a trademark "custsy" facial pose :). The face posing and that aaaahhhhhhh sound are slowly eroding my soul, be aware. To strike a balance I am of course aware that we have more than enough similar material in America and the UK.