Early CMS B-Physics with the first 1-50 pb-1

B-hadrons provide a tool to improve the current understanding of the flavor sector of the Standard Model. Thanks to their large production cross section and long life time, B-hadrons can be efficiently detected in the early LHC data. We present the Monte Carlo based measurements of the J/psi and Brightarrow J/psi K^* production cross sections, accompanied by the analysis of the bb angular correlation. These studies assume a 1-50 pb^{-1} sample of proton-proton collisions produced by the LHC at s=10-14-TeV and collected by the CMS experiment.