I just checked again and they haven’t released any June hours yet, so hopefully they will soon. We are only going at the end of June so I guess I need to be more patient.
Make sure you check the Universal app as opposed to their website-- for some reason, they seem to update the app more regularly. Also, I've seen them make changes to their schedule a few days before arrival. So always always always check the app while you are there. They could add/take away early park admission and modify park hours while you are there.