High-resolution (2.''8-5'') aperture synthesis maps of the (CO)-C-13, (CO)-O-18 J = 1 --> 0, and continuum emission at 2.7 mm from the Bok globule B335 trace bipolar, high-velocity emission to within 250 AU of its source, and delineate a core which is elongated on scales of 1000 AU perpendicular to the outflow but unresolved along its minor axis. Our images in the optically thick (CO)-C-13 line show well-separated blue- and redshifted outflow lobes, and imply the presence of limb-brightened shells. The outflow opening angle close to its origin is the same as at distances of approximately 5', suggesting that its morphology is determined primarily by a collimated driving wind. The high-density (>3 x 10(6) cm-3) core is seen in both 2.7 mm continuum and (CO)-O-18 maps, and has a mass of 0.2 M.. The (CO)-C-13 and (CO)-O-18 line profiles are consistent with those predicted by Zhou et al. (1993) for a collapsing core, and the continuum measurements also imply a density distribution typical of free-fall collapse.