The winter weeds are trying to go to seed before the heat kills them. Keep the lawn mowed every week to reduce production of the weed seeds for next winter. Yes I know this can often be easier said than done when we have a rainy May.
You will be stuck with the weekly watering recommendation provided by SAWS. https://www.saws.org/the-drought-continues-and-so-do-stage-2-watering-rules/ Make sure to check the SAWS website for the latest watering schedule based on the aquifer level.