Dramatic monologue
A poem representing itself as a speech made by one person to a silent listener, usually not the reader. Examples include Robert Browning's "My Last Duchess," Alfred Lord Tennyson's "Ulysses," and T. S. Eliot's "The Love Song of J. Alfred Prufrock." A lyric may also be addressed to someone, but it is short and song-like and may appear to address either the reader or the poet.