What each of us does in our gardens/yards in June depends on our local climate. Here in south Georgia, USA June is sort of the break-off point between harvesting the spring-planted veggies and getting ready to plant again for the autumn.
NGA has a veggie planting calendar (here is the list for my location as an example). The list tells us which veggies to plant and when.
https://garden.org/apps/calend...
The NGA calendar does not tell us about lawns and such and not everyone has a greenhouse but that information can be found in the forums.