Day after day, the dog went to the station to meet its master.
Literal
Come day [also-も] come day [also-も] that dog [topic-は] master [object-を] meet [to-に] station [to-へ] went.
A reference to the famous 忠犬ハチ公 (Loyal Dog Hachiko) story — a real dog who waited at Shibuya Station for his deceased owner every day for nearly a decade. 迎える here means 'to meet / receive [someone arriving].' 迎えに行く is the 'go to meet' purpose-of-motion pattern.