I'd like to mention something here. There is conflicting information about this out there. The lfs I purchased this from didn't know either. They did a bit of quick research online while I was standing there but could not give a definitive answer.
Once I got home, that same day, I called Coralvue to ask them, to which they said it could only be controlled via phone.
I called the lfs back to let them know that was the answer I got from Coralvue should anyone else have the same question.
Thay said, I'd like to take the time to let those who want to know that yes, in fact, it can be controlled via computer.
I googled Hydros login and clicked the log in link. Entered my info and there it was...the same GUI I get on my phone app. I tried turning off the pump and double checked the tank and for sure the pump had stopped.
Now, this was on my home PC connected to the same wifi the controller is connected to.
My next test will be to try it from my work pc using an unrelated wifi signal 30 minutes away from home. I will post the results sometime this weekend.