The Subject is still trying to wrap her head around that particular fact- that dead people can come to Wonderland. She's quite enthralled by the idea, and likes to think she's found someone who at least has some experience... being dead.

"You mean like... talking to them? Could they hear you?" That's either really sweet, or creepy as hell. Like Jaws creepy, she thinks. Obviously she doesn't say it out loud (does the Ghost even know what Jaws is?). In any case, she thinks it's more of the former.