User-centric (UC) based cell-free (CF) structures can provide the benefits of coverage enhancement for millimeter wave (mmWave) multiple input multiple output (MIMO) systems, which is regarded as the key technology of the reliable and high-rate services. In this paper, we propose a new beam selection scheme and precoding algorithm for the UC CF mmWave MIMO system, where a weighted sum-rate maximization problem is formulated. Since the joint design of beam selection and precoding is non-convex and tractable with high complexity, this paper designs the beam selection and precoding separately. Particularly, the proposed beam selection aims at reducing the inter-cluster inter-beam interference, then we also propose a precoding algorithm based on the weighted sum mean-square error (WSMSE) framework, where the precoding matrix can be updated in a distributed manner. We further employ the low-rank decomposition and Neumann series expansion (NSE) to reduce the computational complexity of the precoding. Simulations and complexity analysis verify the effectiveness of the proposed algorithm with a considerable reduction in computational complexity.