  We analyze the dynamics of a continuously observed, damped, microwave driven
solid state charge qubit. The qubit consists of a single electron in a double
well potential, coupled to an oscillating electric field, and which is
continuously observed by a nearby point contact electrometer. The microwave
field induces transitions between the qubit eigenstates, which have a profound
effect on the detector output current. We show that useful information about
the qubit dynamics, such as dephasing and relaxation rates, and the Rabi
frequency, can be extracted from the DC detector conductance and the detector
output noise power spectrum. We also demonstrate that these phenomena can be
used for single shot electron \emph{spin} readout, for spin based quantum
information processing.
