Yes, Monolithic Dome buildings comply and exceed all of the usual building codes in every way. In many cases the Monolithic Dome can be placed immediately adjacent to other buildings because of its superior fire code conformance. This can be really important in commercial buildings, schools, and churches.
You should check with your local building inspector to find out which of the national building codes he uses. Then ask if they have local variations added. For instance Houston, Texas uses mostly Uniform Building Code; but have their own additions. Most of Texas uses the Southern or Standard Building Code.
While checking on the codes find out what the procedure is to obtain a building permit — including costs. This is different from place to place.