Vent tube on Gas Tank Sending Unit?

That is your tank vent. Not sure where it goes on a 65 but on the later cars it connects to a line that goes to the charcoal cannister in the engine compartment.
Some cars had the vent on the sender and some have a nipple on the tank. Your tank needs a vent somewhere, whether its a tank vent or a vented fuel cap.
This is incorrect. The tank vents on early years had a line that went up the filler neck and then down underneath the car
'70 CA and '71 Federal had the 4-fitting vapor canister thing in the trunk of the car leaning up near the driver's side wheel well. From there a line ran to the front of the car into a fitting on the breather
'72+ had a single fitting on the top-middle of the gas tank, built into the gas tank (not the sending unit) which ran to a charcoal canister in the engine bay.