The Disney Springs website says the hours are 10 am to 12 am right now but that may change seasonally. Wolfgang Puck starts serving breakfast at 9 am according to the website .
I found two places online that say the boats start at 10 :30 am from SSR but it they weren't official Disney sites ....that seems late to me but the Disney site did not give a specific time.
You will need to check when you are at your hotel as the hours can really vary. I know we have been at the doors of the World of Disney on a Saturday at 8:00 am when it opened, but I cannot remember if that was in December for holiday shopping. BTW, the WoD store is halved in size right now for remodeling. They opened a second Disney store that has clothing and stuffed toys. Most of the time I think the stores open at 10:00 am. with a few opening at 9:00 or 9:30.
In June. Would like to get there around 9:30 I guess, that means we would walk I suppose, because the buses and boats don't start running before then? My main goal is to go on a weekday, (hopefully a little less crowded then) which we are and try to get in as much shopping and such before our lunch reservation at T-Rex at 12:15, because after lunch I want to head back to the resort and not back into a more crowded Disney Springs.
If you check the above website, it gives you a calendar to check the hours World of Disney is open. The weekends seem to be open later, but the opening hours were the same at 10:00 am.