What is the difference between
The doctor has gone to Hospital vs The doctor has gone to the Hospital
Neither a teacher nor a native-speaker
Q:How is he doing recently?
A:Oh, haven't you heard that he is at hospital.(Here, the emphasis is about a person's condition ,not where he is.)
But we'd better wait for a native-speaker for a confirmation.
"The doctor has gone to a hospital", implies the same, almost as strongly.
"The doctor has gone to the hospital", however, implies that he has gone to the hospital where he works.
Actually I think it's counterproductive to choose a variety and then fret over whether everything you say and write is normal in that variety. It's all English (well, most of it) and the sky will not fall if you say "He had to go to the hospital" in Australia or Britain.