Interesting question, Anne.
We know that TPTB don't understand the word 'continuity', but judging from Catherine's previous experience as supervisor, I don't think she'll change much from what she did then. Yes, there are different people under her now. (shuddup! That wasn't supposed to sound dirty! :devil: ) But I'm guessing Nick will become more of a leader in helping her with the others that aren't as familiar with her style.
As for Greg - if you remember through the years, Catherine was very instrumental in Greg's teaching as well. Remember 'After the show', where she brought him on the case instead of Nick or Sara? Or in 'Early Rollout' where he helped her search the bedroom. And there were other times when we'd hear Catherine encouraging Greg and asking how things were coming along - even asking him when he was going to get his proficiency. Yes, Grissom & Sara might have been with him a lot more in his training at all of the scenes later on, but he did get training from Catherine too.
I also think that Catherine will still stick by her previous comment to Warrick, "Grissom let a lot of things slide that I won't". There are many times that Catherine had to bail Grissom out because of things he let go too far. And Catherine has shown that she can play a little political game when she needs to.
That brings up another aspect of this scenario - Ecklie. I'm hoping that with Catherine as supervisor we get to see a little bit more of Ecklie. (hey, I'm really starting to like the guy after they made him semi-human!) He & Catherine have had some great scenes - even back in the early days when Ecklie was on dayshift, as well as when she was Swing supervisor.
As for Riley & Ray - I'm guessing TPTB will have Riley run a similar path to Sara (as I've seen them do already), but hopefully not as antagonistic and moody. With Riley having worked with the team for such a short time, I'm guessing there shouldn't be much of a change with Catherine taking over. As for Ray, I guess I'd have to wait and see how they develop his character. From what I've seen so far, he seems quite an authority figure who earns respect, so I'm hoping that they also have him a person who gives respect back to others of authority.
I think one other question needs to be asked -
will Catherine still keep her small office, or will she move into Grissom's big one?