Clicking day-by in Class Schedule is doable, but you only see one day at a time.
You could go to a member's Dashboard and see their future reservations. Great if you're looking for just 1 person's future reservations because that's all you can see, 1 person, not the whole gym.
You're best bet is to use Reports - Attendance. Lots of flexibility with this report.
Set the report for a future custom date range.
Select by Class, by Coach, or by Member.
Filter as needed. Sort as needed.
Details view gives you a list of all of the check-ins and reservations in a list (what I personally like to use), but you have other options as well.