The easiest way, IMO, would be to use the daily rainfall measurements and determine if there has been enough rainfall for your garden. I do this in a script for my lawn.
I use a local weather station that gives me the rainfall at my house. The data is supplied to a set of log files for the last 5 days via VWS. Since rainfall varies greatly by geographic location here in Florida, with spotty showers based on where the clouds pop up, I can't rely on what the airport down the street gets - they might have an inch while I get nothing.
I total the rainfall for the last three days, and if it is less than 1.5 inches, I schedule the sprinklers to run via an HS device used as a logical on/off for the script. The script runs once a night and sets up a one-time event to run the sprinklers if, after checking the rainfall, there is a watering need. I run the sprinklers three days a week, but the script I originally developed can also be set up to schedule them daily or not based on the total rainfall. In my case, I have a special sprinkler event that runs the sprinklers 6 times with a half-hour delay between each OFF-ON transition, because I have a ratcheting valve system (6 zones, one at a time, that advances to the next zone when the water is shut off).
This is, of course, based on my knowing that my lawn needs about 1.5 inches over the three days, and my sprinklers deliver about an inch per hour. I run each of 6 zones, which all overlap, for a half-hour apiece, giving the lawn about an inch when it needs it.
If you can determine how much water your garden needs on a daily basis, and how much water your sprinkler system delivers per minute or hour, you should be able to use this method to make sure it has enough water based solely on rainfall measurements. Even though this does not use the envirotranspiration rates and other measures, it is a pretty good average and my lawn stays green and growing all year. A better way would be to measure the actual moisture in the ground by the plants and determine how much time to run the sprinklers based on that. I didn't have a system to do that here.
Here's my script, for grins... there's room for improvement, of course. It's commented, but holler if you have questions.