First of all, thank you for letting students shadow! In my case, I was initially too intimidated reach out to physicians for shadowing opportunities because they seemed so busy and I was afraid of annoying them. So making it clear that you're open to students shadowing you, and how they can get in touch with you, is important!
Try to make expectations clear, for example "you can shadow me from 8am-5pm," "you can dress casually because you will immediately change into scrubs," "now would be a good time to use the bathroom, get a snack, get lunch, etc." This is especially relevant for the OR. One physician I shadowed made sure I was drinking water and had snacks, which was a nice touch. I recently shadowed an Anesthesiologist on a 10 hour shift and we never stopped for lunch--I actually appreciated the more realistic experience, but I was also savvy enough to eat a big breakfast first, which some premeds might not be. Sometimes it's hard to know when it's ok to ask questions vs. not. Saying "do you have any questions?" or "I need to finish this patient's chart" helps with this.
I agree with the previous poster that letting students be involved is good, but I also don't think you need to go out of your way to entertain them
if you feel like they're getting to see an accurate representation of your day to day workflow. As a non-trad, I didn't need to be entertained and was grateful just to be able to sit there and soak everything in. I also think that seeing the more boring parts of medicine is important.
Finally, in addition to what you teach students about being an Anesthesiologist, any pearls of wisdom you can give for navigating the premed journey and building an application will be greatly appreciated. As cool as it is to learn about different specialties, it's hard not to be preoccupied with getting into medical school in the first place.
Good luck this summer!