Significant questions regarding turbulence in quantum fluids, such as superfluid helium, remain unanswered owing to the inability to directly probe the local velocity in a manner quite common in the study of classical fluid turbulence. Using a novel visualization technique to measure the local velocity field, we are able to characterize fundamental processes in turbulent superfluid helium. A mixture of hydrogen and helium gas is directly injected into the bulk of the fluid, which produces micron-sized tracer particles that are individually tracked. We demonstrate the two-fluid nature of superfluid helium and make the first observation of individual reconnection events, and we compare the local velocity statistics with predictions for turbulent quantum fluids.