Yes if stone is measure than 1 cm then you go for the surgery beacause of impaction in the neck of gall bladder.
And also at present no emergency surgery required that’s why doctor gave medication for resolution of infection beacause in infection gall bladder attach to many near by organ so difficult to operate for a surgeon may be post operative complications also occure. So that you take medication for infection control and after 6 weeks you may go for surgery. If in between 6 weeks if pain occure then directly go for surgery
Next Steps
Surgery is definative management for stone more than 1 cm
Health Tips
Go for surgery after antibiotics course