How inefficient is it that your grocery store is 5 miles away? Everyone should have a grocery store within a 5 minute walk of where they live.
Many people live within 5 miles of one, but usually in denser areas where 5 miles could easily take 30-60 min of travel.
That's exactly the problem. There needs to be more housing built near grocery stores, and more grocery stores built where the housing is, instead of 5 miles away.
Most of us don't go to the grocery store more than once or twice a week. When we do, it's often a big purchase that you can't carry back in your hands or on a small bike. You'd need something with more cargo space.
And no, fresh bread is not really a thing, outside of a few urbanish settings. A healthy proportion of bakeries don't even sell bread - only pastries, cakes, etc.
I can't control the prices of the local store, and so it is efficient to have the ability to choose other stores and thus force them to compete on price.