  We propose a scheme to read out the spin of a single electron quantum bit in
a surface Paul trap using oscillating magnetic field gradients. The readout
sequence is composed of cooling, driving, amplification and detection of the
electron's motion. We study the scheme in the presence of noise and trap
anharmonicities at liquid helium temperatures. An analysis of the the four
procedures shows short measurement times ($25~\mu$s) and high fidelities
($99.7\%$) are achievable with realistic experimental parameters. Our scheme
performs the function of fluorescence detection in ion trapping schemes,
highlighting the potential to built all-electric quantum computers based on
trapped electron spin qubits.
