What type of poem is shown there was an old man on a hill who seldom if ever stood still he ran up and down in his gown which adorned that hill?

The poem is a limerick.

A limerick is a humorous poem that follows a specific rhyme scheme. The rhyme scheme of a limerick is AABBA. The first, second, and fifth lines rhyme with each other. The third and fourth lines rhyme with each other.