Pears are a type of fruit that people often eat. The skin and flesh of a pear are edible, but the core is not. The core of a pear contains a hard, inedible seed. It is surrounded by a thin layer of flesh that is also inedible.yes, the core of a pear is edible. The core is made up of the stem and seeds of the pear, and is surrounded by the fleshy part of the pear. The core is crunchy and has a slightly bitter taste. Some people prefer to remove the core before eating the pear, but it is perfectly safe to eat.