We extend techniques commonly used in optical atomic clocks to perform precise metrology of binding energies and coherent control of deeply bound Sr2 molecules. Clock transitions between two vibrational levels in the electronic ground state potential are driven via two-photon Raman process. We achieve Rabi oscillations across the ground state potential and employ a magic wavelength technique to eliminate the differential light shift using narrow polarizability resonances. This allows us to increase coherence by three orders of magnitude and obtain a preliminary linewidth of <100 Hz for a 26 THz transition. This development clears the path toward the realization of a molecular clock for the study of fundamental physics.