Your math is right, your assumptions are unusual.
The 60 kWh battery pack doesn't actually have 60 usable kWh for driving, and it takes more power from the wall than you get back to drive on.
It's not common to drive an EV until the battery is drained before filling it- most people charge every day for that day's usage.
It's also unusual (but not unheard of) for a charging station to bill by the kWh - in many places that invokes laws about selling power intended for regulating utilities, so a lot of stations charge by the hour instead.
If you have a price per kWh and you know a typical daily or monthly driving distance, go to fuel economy dot gov and find the car's rating in kWh per hundred miles. That will give you how much electricity from the outlet you need to cover each mile, which you can multiply by your price per kWh to get the overall cost.