I'm not sure of the law, but both sides have made public their respective witness lists. As far as 'discovery', it's a very simple case, albeit largely circumstantial. I doubt there will be surprises from either side.

First prosecution witness today was the room clerk, who placed them in the hotel together. No press is allowed, so what actually transpired day-to-day will only slowly leak out. With court in session only on Mondays and Tuesdays, this is going to be a long, drawn out, affair unless a plea bargain is reached.

Re the plea bargain, confusion reigns, with each side claiming the other raised the question of a deal.