Hello, Pam!
Navigating the Walt Disney World website can be a bit tricky, since there are so many options from which to choose.
I'm including
a link to Magic Kingdom Park's June 1st calendar page, just so that you can see the detail on the daily calendar pages. To get to other dates, click on "Month View" which is just above "Friday, June 1." You'll see the entire month of June and can click on the exact date about which you'd like more information.
For each of the other parks, hover your cursor over "Parks" on Walt Disney World's homepage, then select your park of choice. Once there, look to the left side of the screen, where you'll find a list of options, beginning with "Overview." Below that, you'll see the option "Calendar." Click there; then, you'll see a drop-down option in order to advance to the month of June. Once there, allow your cursor to hover over any of the dates on which you'd like more information. You should see that the color of the text on the date changes, which lets you know that it's "clickable." Select the date as you did above, and you should be able to see all of the information you're trying to find.
If this doesn't help, please just send me another question, and I'll do whatever it takes to get the information to you! Planning ahead is the best way to make the most of your Walt Disney World vacation; I'd love to help you do that!