Bees should still be working hard filling up honey supers as the flows continue. Your hive could still swarm in June, so keep your swarm management or be prepared with extra hive bodies to place the swarm. Be on the lookout for swarms in your neighborhood too. You should see bees hanging out on the porch of your hive. Some may confuse this with the hive wanting to swarm. But the days are just getting too warm for them in the hive. So they’re just cooling off outside and may also be fanning cooling air into the hive. This gathering is also called “bearding”.
Continue monitoring your hive. The bees will need lots of water in the coming weeks. Be sure you provide a good water source someplace in your yard. You want to be a good neighbor and not have them bugging your neighbors’ pool or pet bowls. You could even put a feeder on with just water, no sugar. Having plenty of water will also help your bees keep the hive cooler.