I'd tell her that she needs to stop answering messages during your session. It is very rude and unprofessional.

If she brings up the fact that she is using her iPad for notes... then tell her that if she is incapable of turning off her wireless reception, then she needs to put the iPad away and take notes the old way.

It's your time, and you're expected to be present while there so she should as well.

I find it useful when my T tells me about his experiences with others - it teaches me a lot about him and what his experience has been, so I understand how I differ from his normal experience and am more able to separate what is a misconception he's had based on his own experience or a misconception based on my lack of explanation.