A pair is a set of two. The word also works as a verb meaning to provide a partner or to make a set of two.
To pare (often with the preposition down) is to trim off the outer parts (of something). The word is often used figuratively. For example, when a household budget is tight, you might pare your grocery expenses.
A pear is a fruit with a spherical base and a tapered top, as well as the tree that bears this fruit.