New Graduate onto Shadowing after Interview

I have recently graduated with my BSN just a couple weeks ago and have started the application/interview process. I'm interviewing at a very large renowned hospital for a position in the cardiovascular ICU. I recently have undergone the phone interview and completed the second interview with the nurse manager on the unit. In a couple weeks she has invited me to come back to shadow a nurse on the unit which is basically going to be similar to doing peer interviews, but without the title. I'm curious to know if shadowing is offered to everybody that gets this far in the interview process? Also, I can be shy in these types of situations, but I eventually warm up and my personality shines through, what are some recommendations to nail this shadowing experience and hopefully click with the other staff members on the unit? Any helpful hints would be wonderful!!