Hi
You may want to firstly decide what it is you want your superivisor to achieve because not all supervisory roles will be the same for every company.
Some will involve recruiting and monitoring staff, monitoring staff performance and ensuring they complete works according to specification, checking service standards, liaising or reporting directly to the clients, producing timesheets, order and delivery stock, training and in most cases to roll up ones sleeves and be hands on if it is the solution to solving a paticular problem.
Hope this helps