A bed and breakfast was a place that provided lodging and breakfast.
Chloe and Arthur owned a bed and breakfast. By the time the Sixth Doctor arrived looking for a room, they hadn't had any guests for years. (PROSE: The Death of Me)
Harold Withers also owned a bed and breakfast named the Green Dragon in Stockbridge. (AUDIO: The Eternal Summer)
The First Doctor once visited a bed and breakfast named "Bide-a-Wee" in 1933 Keelmouth. Another guest there at the time was time traveller Prentice. (PROSE: Bide-a-Wee)