I have seen some OR codes that expressly forbid wearing anything under
this is something I think people care more about if they have a lot of chest hair that will show, they have breasts they don't want to show too much of if they bend over, or they get cold/sweaty
some of it might be cultural
some places it gave me the impression that it was seen as "self expression" or being "colorful" and looked less uniform/professional, so it would be disallowed (usually in that case you could find some written rules somewhere, almost every code I've seen has said something about not getting too wild with bright neon colors or having slogans/graphics etc at minimum)
other places it would almost seem like you were "naked" without one
(some residents take pleasure in wearing shirts that are otherwise against code, like with slogans or trademarked stuff (carebears anyone?) that couldn't be easily seen under their scrubs. I don't suggest that med students get "cute" like this)
don't worry about it, you can't go wrong with scrubs only your first day
(if you are sure it's a scrubs appropriate day, only assume scrubs are OK if you are going to be in an OR or doing a day of sterile procedures - when in doubt, wear clinic appropriate attire but have scrubs with you, otherwise you need to be sure what the policy is, most places you can wear scrubs on long call days and on others YOU CAN'T, so always ask about rules on wearing scrubs if you are outside the OR, even some EDs don't allow it!!)
I would only wear a shirt for my own comfort or for the rules
(now I realize for all that I did to keep my ladies under control I was giving a free show every long call day. oh well, at least I never went afoul the dress code on purpose)