You can add a group or any number of users to a Readers field. The Readers field type is a special type available when you add a field to your form. The value of the field determines who can see the document in the view.
For example, the Readers field could have a Compute when composed formula of:
@Name([CN];@UserName)
to allow only the creator to read, or to allow only certain groups read access:
"MyGroupName":"My2ndGroupName"