It would depend on how pure your biogas is or what is the methane content. Also, if it is pressurized or directly connected to biogas rector (backyard-type).
The biogas injection pressure is a parameter not to be forgotten when you want to use the same burner from the natural gas boiler for the biogas one. Pressure can influence the flame and even reduce the efficiency.
Methane content is biogas varies from 55% to 75% .
Our conventional gas stove need larger gas jets when it is used for biogas combustion. These stoves can be used with biogas by modifying their burner for proper combustion.
You can some physical modification in the parts of conventional cook stove burner to burn the biogas fuel. the main component of cook stove such as fuel injector and burner port size. The size of the fuel injector depends on the gas pressure (digester pressure) and burner port size will give stabilized flame on the burner cap and also conveyed and defines the flow of fuel and air mixture before ignition.