An efficient continuous wave (CW) laser-diode-pumped Nd-doped ${\mathrm{Ca}}_3{\left(\mathrm{Nb}\mathrm{Ga}\right)}_{2-x}{\mathrm{Ga}}_3{\mathrm{O}}_{12}$ (CNGG) laser operating at $935\mathrm{nm}$ is demonstrated by using a simple linear cavity for the first time to our knowledge. Output power up to $1.12\mathrm{W}$ is obtained, corresponding to a slope efficiency of 7.1% and an optical-to-optical efficiency of 5.7%. The laser operates with the fundamental transverse mode when the output power is as high as $800\mathrm{mW}$ . This laser provides a potential light source for differential absorption lidar in water vapor detection.