Painless Temp Sending Unit Wiring Question

[NoNeck]

Maybe a really dumb question, but I am confused on a couple of wires that attach to the Temperature Sending Unit on the intake manifold.

The instructions from Painless show the following:

Grn/Blk 18 921 Temperature Sending Unit to Temperature Gauge
Green 18 983 Temperature Sending Unit to Temperature Light

I have a factory Temp Gauge, but I noticed there is a red idiot light that would indicate when the engine temperature is too hot.

Should I attach BOTH the Green/Black and the Green wires to the Temp Sender?

Thanks,
POP