Grocery store jobs range from entry-level positions like stockers and cashiers all the way up to upper management and buyer positions. Other jobs may include cart pusher, bagger, deli worker, bakery worker, manager, and customer service representative. Many jobs at a grocery store require no education at all, but as you work your way up, you may need a high school diploma or even a bachelor's degree, especially as you get into management positions and your responsibilities increase. Customer service is the number one priority of all of these positions.