  We present subarcsecond resolution dust continuum observations of the
protostellar collapse candidate B335 made with the IRAM Plateau de Bure
Interferometer at wavelengths of 1.2 and 3.0 mm. These observations probe to <
100 AU size scales and reveal a compact source component that we identify with
a circumstellar disk. We analyze these data in concert with previous lower
resolution interferometer observations and find a best fit density structure
for B335 that consists of a power law envelope with index p=1.55 +/- 0.04 (r <
5000 AU) together with a disk (r < 100 AU) of flux F_{1.2 mm}=21 +/-2 mJy. We
estimate a systematic uncertainty in the power law index delta(p) < 0.15, where
the largest error comes from the assumed form of the dust temperature falloff
with radius. This determination of the inner density structure of B335 has a
precision unique amongst protostellar cores, and it is consistent with the
r^{-1.5} profile of gravitational free-fall, in accord with basic expectations
for the formation of a star. The flux (and implied mass) of the compact
component in B335 is typical of the disks around T Tauri stars.
