Portions are open as of yesterday. At least the flight locks that start the Erie Canal, likely more.
https://www.newyorkupstate.com/outdoors/2020/05/canal-corporation-large-sections-of-nys-barge-canal-system-will-be-opened-by-july-4.html#:~:text=It’s%20currently%20closed.%20.&text=The%20New%20York%20State%20Canal%20Corporation%20today%20announced%20that%20much,“NY%20Forward%20Reopening”%20plan.