New sod should be rolled down to ensure good sod-to-soil contact. Roots will not grow through the air to reach the soil. If it is a small area, just walk on it - every square inch.

Water new sod like new seed. Just enough needed to keep the underlying soil moist and not soggy. If you walk on it and your foot sinks in, that's way too wet. For most sprinklers this means moisten it for about 5 minutes 3x per day (breakfast, lunch, and dinner time). Do that for about 2 weeks or until the sod roots have knit down into the soil. Try lifting a corner of a few pieces of sod to make sure it's growing in. Once that happens then you can go to deeper and less frequent watering. By the end of July the target would be to water 1/2 inch twice a week. This will be the same for when you reseed in the fall. Next summer you should be weaned down to watering once per week a full inch each time.

Watering: Deep and infrequent is the mantra for watering. This is for all turf grass all over the place. Deep means 1 inch all at one time. Put some cat food or tuna cans around the yard, and time how long it takes your sprinkler(s) to fill all the cans. Memorize that time. That will be the time you water from now on. My hose, sprinkler and water pressure takes 8 full hours to fill the cans. Your time will likely be less. I like gentle watering. As for watering frequency, that depends on the daytime air temperature. With temps in the 90s, deep water once per week. With temps in the 80s, deep water once every 2 weeks. With temps in the 70s, deep water once every 3 weeks. With temps below 70, deep water once a month. Note that you have to keep up with quickly changing temps in the spring and fall. This deep and infrequent schedule works in Phoenix and in Vermont, so it should work for you. The reason for deep and infrequent is to grow deeper, more drought resistant roots and to allow the soil to dry completely at the surface for several days before watering again. If it rains, reset your calendar to account for the rainfall.