We demonstrate a two-dimensional grating magneto optical trap (2D GMOT) with a single input beam and a planar diffraction grating in Rb. This configuration allows for an increase in experimental access when compared with a traditional 2D MOT. As configured in the paper, the output flux is > 4 × 10 rubidium atoms/s at a mean velocity of 18 m/s. The velocity distribution has a 3 m/s standard deviation. We use the atomic beam from the 2D GMOT to demonstrate loading of a three dimensional grating MOT (3D GMOT) with 2 × 10 atoms. Methods to improve flux output are discussed.