No, there is no additional layer or duplication of services, only the transfer of responsibility for certain services from the county to the city. Cityhood shifts the responsibility for some services closer to the citizen where local input and presence is most helpful. This frees the county to focus on areas where economies of scale and county-wide delivery make sense. For example, a business license will be issued by the city and require no interaction with the county. Conversely, residents would still rely on the county for fire protection where economies of scale and the ability to shift resources are important practical considerations. Taxes that you currently pay to support these services at the county will shift to the city along with that responsibility.