That's the non-profit ChildCare centre operated by St.Stephen's Community House; they had information session in mall a couple weeks ago (I think they mention September after labour day as being their first day opening) - looks like they still have space for eligible families:
"Our new Yonge & Sheppard Child Care Centre is on the second floor of the Yonge Sheppard Centre in North York and welcomes children from birth to 4 years old. This newly built site offers a safe, supervised playground, nutritionist-approved hot food, and easy drop-off and pick-up with dedicated parking and subway access. We also offer diapers for infants and toddlers."
(Floor naming convention is confusing due to former moat; lower concourse is 1st, upper concourse is 2nd then non-profit childcare is on 3rd)
I believe the Family Services Community Space is the floor above the non-profit child care centre space - looks like they still have internal construction going on. These are both the on-site retails space on 99-year lease to City for Section 37 Community Benefit - originally amounted to 10% of $200 million project which was biggest Section 37 Community Benefit score for local Councillor Filion,.... then project cost increased to $225million then $250million with recladding, complication & delays.
The other for profit ChildCare centre is in north end at foot of Pivot where old loading dock used to be)