E.D.
It's not a stupid question at all. It's a really good question, and an important question.
Here, this should help out:
http://ga.water.usgs.gov/edu/watercyclegwdischarge.html
http://www.montereyinstitute.org/noaa/lesson07/l7la2.htm
See, the thing is that we take groundwater out at a higher rate than it soaks back in (through semi porous material...like rock). So even if the evaporated water from your sprinkler does contribute to some far off rain cloud, it's still not going to replace what came out of the aquifers. We're taking water out faster than it's going back in. Our fresh water resources are finite.
Too, weather isn't a localized or contained system. For example, what's going on 3000 miles West of us, is going to affect our weather in Washington. In turn, what happened in a current in the Atlantic ocean is going to affect the weather in X, Y, Z which in turn affects what's going on somewhere else.
But I'm getting off track. The cycle of water / rain process that we learned in school is relevant, but mostly/only when fresh water sources are being replaced at an equal rate as they are being drained. Which they aren't. At all.
Then meanwhile, places like Western Washington (we're on the edge of a temperate rain forest), ships water out to other states which don't have enough water of their own. So while yes, it's overcast and chilly outside my window, and yes, we've had quite a lot of rain, we're also in a drought because so much of our water is piped to far off places, to water yards, flush toilets, fill up pools, or to hydrate crops and livestock.
Without man made manipulation/diversion, a lot of places couldn't exist (think Los Angeles - HUGE city in the middle dry, dry lands which provides only a percentage of it's own water.)
So all that to say that, yes, if we lived in a much simpler time, the water you were able to access would, in theory, just be part of the great cycle of water. But because there are so many variables (ex: non permeable surfaces, fresh water running off into salt water bodies of water, water becoming so polluted that it is unusable for crops or household, water systems being altered so as to devastate local populations resource, like how the Colorado River isn't able to run clean to Mexico anymore), the cycle is all wonky.
Now it's more like, pull it out and never get to use it again (an exaggeration, true, but not too far off).
Huh. I wonder if I've been able to make ANY sense at all. ;-)