(I can't know what your experience would be like, so just use this as an example. You can use it as is or change it however you like.)
My experience was easier than I thought it would be. I thought that it would be gross or that the baby would be wiggling too much for me to do anything, but the baby was actually very calm and cooperative and it wasn't very gross at all.
Yes, there are many of these kind of procedures, and here are some examples, like deep palpation and percussion, examination of the ear-drum or inside the nose