Muon commissioning and Exclusive B production at CMS with the first LHC data

B physics will be one of the key physics themes at the Large Hadron Collider (LHC). B hadrons are an ideal tool for advancing our current understanding of the flavour sector of the Standard Model (SM), and searching for effects originating from physics beyond the SM, thanks to the large production rate and the fact that B hadrons are relatively easy to trigger on and identify due to their long lifetime and high mass. The interplay between strong and electroweak effects in the production and decay of B hadrons makes them a unique test ground for both forces. The integrated luminosity collected by the CMS experiment during the first LHC running period 2010 is expected to be about 200 pb$^{-1}$. In this talk, we present the performance of the CMS muon identification and reconstruction on cosmic rays and collision data, as well the estimated sensitivities of CMS for observing and measuring exclusive final states B$\rightarrow$J/psi K$^($*$^)$. Apart from probing the heavy quarks at the LHC c.m.s. energy, these measurements are also important standard candles for upcoming measurements.