We measure the rovibronic transitions X-1 Sigma(+) v '' = 0, J '' -> A (1)Sigma(+), v' = 0-3, J' of CaH+ and obtain rotational constants for the A (1)Sigma(+) state. The spectrum is obtained using two-photon photodissociation of CaH+ cotrapped with Doppler cooled Ca+. The excitation is driven by a mode locked, frequency-doubled Ti:Sapph laser, which is then pulse shaped to narrow the spectral bandwidth. The measured values of the rotational constants are in agreement with ab initio theory.