  We present observations spanning 355 orbital phases of HAT-P-7 observed by
Kepler from May 2009 to March 2011 (Q1-9). We find a shallower secondary
eclipse depth than initially announced, consistent with a low optical albedo
and detection of nearly exclusively thermal emission, without a reflected light
component. We find an approximately 10 ppm perturbation to the average transit
light curve near phase -0.02 that we attribute to a temperature decrease on the
surface of the star, phased to the orbit of the planet. This cooler spot is
consistent with planet-induced gravity darkening, slightly lagging the
sub-planet position due to the finite response time of the stellar atmosphere.
The brightness temperature of HAT-P-7b in the Kepler bandpass is T_B = 2733 +/-
21 K and the amplitude of the deviation in stellar surface temperature due to
gravity darkening is approximately -0.18 K. The detection of the spot is not
statistically unequivocal due its small amplitude, though additional Kepler
observations should be able to verify the astrophysical nature of the anomaly.
