Do I need a drone licence to operate commercially?

No, not necessarily. A drone licence is not dictated by commercial or recreational flights. The deciding factors are the weight of your drone and where you plan to fly it.

In some cases, you could fly commercially without obtaining a licence: For example, taking commercial photographs while operating in the A3 subcategory (far from people) or commercial work with a DJI Mini drone while operating in the A1 subcategory (fly over people, but not crowds).