Are supervisors supposed to have lots of free time?

Hey, I got promoted to a supervisor position recently and I've realized that I don't do much. I just walk around the call floor alot (i work in a call center) and make sure people are staying focused. 

Then I might train some new hires or take some calls. It feels unethical and I feel like I don't deserve it because I got promoted because I'm dating one of the senior lead supervisors and he wanted to get me promoted since I'm having sex with him and we have a good relationship. 

Is this how life is? I couldn't find any other way to be successful and this seems to be the only thing that works. I've noticed at all of my other jobs people do what I'm doing right now to get promoted and to stay in the business. Is this really how it's supposed to be? 

Working hard doesn't get you anywhere and the only people promoted are the ones who have sex with, date or who know the management very well.