For this you need to select the leave type "Paternity Leave" on the "Event type and allowances" page and then click on "Event Type Request Restriction" button on the right.
On clicking the "Event type request restriction" button you will get the below page where you can create a group by any name for example "Paternity Leave Visibility Group" and add members to this group for whom you want the paternity leave type to be visible.
So like for example i have created the group "Paternity Leave Type Visibility" and have added "Vijayvergia Manju" in that group. So now that user would be able to see this leave type but the other user "Vijayvergia Shruti" would not be able to see the "Paternity Leave" type while requesting leave as she is not added in the group. See the below image: