This all depends on the type of role. Interns usually don't get a lot of visibility with management, but in my case I worked directly with a financial adviser who was pretty high up in the office I worked in. For the corporate finance/accounting roles I would anticipate you will report to someone at the manager level and below. They will still offer helpful insight and guidance, but they will also want to see you demonstrate the ability to learn things on the fly and adapt.
As an intern, I am going through the exact training as a new hire would. That right there shows how much upper management cares for you. I recently met with the managing director because I reached out to ask a few questions and now we have a connection where she wants to know what I see my career path looking like. The support of upper-level mgmt is insane. As stated before they want to hear your goals and help you get there whether it is getting your MBA or moving to a different sector in the office. If you have questions they will take the time to answer them.