We measure inelastic collisions between ultracold CaF molecules by combining two optical tweezers, each containing a single molecule. We observe collisions between 2 Σ CaF molecules in the absolute ground state jX; v ¼ 0; N ¼ 0; F ¼ 0i, and in excited hyperfine and rotational states. In the absolute ground state, we find a two-body loss rate of 1.4ð8Þ × 10 −10 cm 3 =s, which is below, but close to, the predicted universal loss rate.