2000 blazer stutters for the first 10 miles

The first time the car is run each day the car will stutter for the 1st 10 miles or so when I press on the gas peddle. Afterwards, that day, this doesn’t happen. It’s like the car wants gas but it doesn’t get any and then when it does it goes okay. The gas gauge on the dash doesn’t function properly. Have to monitor the mileage to not run out of gas