There aren't any grocery stores on the way. However less than two miles away from UO there is a Publix Grocery Store in the Kirkman Oaks Shopping Plaza (4606 Kirkman Rd).
Directions-From the airport, take the North Exit/436 to 528 Westbound. Take 528 West to I-4 Eastbound. I-4 East to exit 75B (left exit). Go past Universal. Turn left on Conroy (three traffic lights from I-4). Plaza is on right.