Diagnosis
No, it's not normal. The door switch is stuck in the 'depressed' position or has failed internally in the closed state.
How to Fix It
The switch has two functions: telling the control board the door is closed (to allow operation) and turning the light on/off. Unplug the dryer, locate the door switch in the door frame, and disconnect its wiring harness. Test the switch terminals for continuity both when the button is pressed and released. If it shows continuity in both states, it's failed and needs replacement.
If That Didn't Work
Rarely, a short in the wiring harness between the switch and the light socket could cause this, but the switch failure is 95% likely.
Heads Up
This is a minor issue but wastes the bulb and creates a small amount of heat inside the drum. Replace the switch soon to avoid confusing future error codes.