The answer is "probably".
A bit of blood has leaked and collected in an area near brain tisue. I would guess your real question is "are there going to be long-lasting neurological effects".
Most of the times not. There are always exeptions, but statistics are on your side.
The medications prescribed are common in such cases. The physicians seem to be on top of things.
What you need to do is call the doctors who are in charge of his case. The nurse will listen to your questions and she or the doctor will call you back with answers to your questions. That's how it works.
Look for the discharge instructions that should tell you how activity is to be resumed. That is, is the patient to be on bed rest or take it easy, avoid any more trauma, etc.
A hematoma is a bruise. So you know how a skin bruise injury bleeds and then stops and then the old blood gets removed from the site as it heals. A brain hematoma is like that except that it happens inside the skull. There isn't a lot of extra room for swelling, so it presses against the brain tissue and can cause problems that are more serious than bruises in other locations. But once the swelling goes down and the body starts repairing itself, things should be stabilized.