Expanded Element is quite clear that you get all of the basic blasts of the new element, as well as all applicable composite blasts. It also states that you don't get the defense wild talents of the expanded element.
So now that we know what you do get and what you don't get, where exactly do the bonus class skills for your expanded element fall into place?
Do you get them or don't you? If so, do they get the bonus from the Skilled Kineticist utility wild talent?
Extra class skills are only part of the Elemental Focus (Ex) class feature (in page 10) which Expanded Element doesn't grant.
Expanded Element is quite clear that you get all of the basic blasts of the new element,
FYI: My book says you: "gains one of that element's simple blast wild talents".