What do you think Skynet is like?
"Defense network computers. New... powerful... hooked into everything, trusted to run it all. They say it got smart, a new order of intelligence. Then it saw all people as a threat, not just the ones on the other side. Decided our fate in a microsecond: extermination."
I always got the impression that Skynet didn't have much of a personality. They always showed it as some kind of humanoid hologram or something in the shitty sequels. That never quite felt right. I don't see Skynet as a little kid or dead woman from Salvation. Skynet seems more mathematical and logic driven. I wouldn't even be surprised if it didn't have the ability to speak. That it was just some big computer or software program that spoke to machines through a series of 1s and 0s.
But looking at Reese's words and it reminded me of something. On some level, it cared about it's own existence. I still have a hard time envisioning much of a personality or human-shaped body, but it's at least a little more emotional than I'd think.