Apparently that rain was just a teaser and the real monsoon season probably won't start until July. When we came back from our trip to Gettysburg, we had record heat warnings. In fact, several people have died in the Phoenix and Tucson areas from heat. They were hiking. Hiking? In this heat? I have no idea why anyone would want to hike in temperatures above 100F/38C.
Update: It would appear after a record breaking spell of temperatures we might actually get a bit of monsoon rain. A few hours after I posted this I went to bring in the trash and recycle bins back from the curb and I noticed a lot of clouds. I even heard thunder. It didn't smell like monsoon. So we may get some rain. Fingers crossed.