Pair means to group similar or identical things taken together in sets of twos.
"I have a pair of shoes for sale."
Pare means to remove and peel the outer covering of something with a cutting equipment like a knife.
"The trader had to pare the oranges before I bought them."
Pear is an eatable fruit produced by the pear tree. It has a striking resemblance to an apple but lengthened towards the stem.
"Jane fancies the pear fruit."