PARK CITY
El Chubasco
https://www.elchubascoparkcity.com/
Casual Mexican food. Great for takeout or dine in. Don't skip or go light on the salsa bar.
Atticus
Local favorite for tea and coffee. Try Lisa's favorite, the chai tea latte.
Silver Star Café
https://www.thesilverstarcafe.com/
We suggest you make a reservation if you can. Great spot for brunch, drinks, or dinner. The patio is beautiful in the summertime if it is open.
Davanzas
Do you like pizza and beer? Then you should go to Davanzas. We recommend the high school special.
June can be great for hiking, but it depends on the snow pack. If it is a heavy snow year there will still be snow on many trails, so be prepared for that. Otherwise, there are great paved, snow-free walkways all over Park City that are great for a leisurely stroll.
Check out https://www.alltrails.com/us/utah/park-city for suggestions on trails to suit your fancy!
Einstein's Favorite Hike: www.alltrails.com/trail/us/utah/mine-shaft-loop/photos