Hi Stephanie.
My wife was inpatient for 5 days while she received ATG treatment. She was in a private room and had a specific nurse assigned to watch her, but she could have visitors. After those 5 days she was released home but we had to come for regular checkups and/or transfusions.
Some of our forum members can tell you about it first-hand. In the meantime you can read other Marrowforums threads about ATG. Here are a few that I spotted:
Requesting success stories with ATG
going in for ATG next week
ATG