A Gaussian source and two data streams are to be transmitted over a Gaussian broadcast channel: the first stream, the “common stream,” is to be decoded by both receivers, and the second, the “private stream,” only by the strong receiver. Both receivers wish to estimate the source sequence, though with possibly different mean squared-errors. The quadruples of achievable rates and estimation errors are characterized, and it is shown that—once the data rates have been fixed—there is no tension between the estimation errors. Only the “equal bandwidth” case is treated, where the rate at which the source emits symbols is also the rate at which the channel is used.