All it says is that it will be held later this June.. just keep checking things like google.. and maybe FB if your city has pride page.
From what I could find, it looks like it is on July 4th. Here is a link to the website for it. Maybe somebody local to that area on here could give you some more info that what is there. Have a good time if you go
Fun fact: San Antonio also has an "obese pride parade".It's held every day of the year at the river walk.