The continuous-wave single-frequency single-end-pumped Yb:GdCOB crystal laser is designed and experimentally demonstrated. A novel output method is proposed to achieve the spatial and fiber output with compact sandwiched structure, and the single-frequency operation is realized in an ultrashort cavity. The maximum output power is 40.9 mW and the slope efficiency is 13.7% at 1083.2 nm with 360 mW incident power and a 1-mm-thick crystal, and the fiber output power is 337 μW. Meanwhile, the maximum single-frequency output power is 4.5 mW at 1078.2 nm with 380 mW incident power and a 0.2-mm-thick crystal.