A clogged pore is a clogged hair follicle (pore) in the skin. Skin debris combines with oil to block the follicle. A clogged pore can be open (blackhead) or closed by skin (whitehead), and occur with or without acne.
The chronic inflammatory condition that usually includes both clogged pores and inflamed papules and pustules (pimples) is called acne. Infection causes inflammation and the development of pus. Whether or not a skin condition classifies as acne depends on the amount of clogged pores and infection.