I have determined that this will need to be wired to either the blower
or the burner. Since I am new to this, I am assuming this can be done?

What it is doing now is when the furnace is on or off, the water
continues to flow through the pad into the drain hose, non stop.

Can anyone easily explain how to wire this up?

By the way, there was an existing humidifer on the furnace but I made a
mistake and forgot to label how it was installed when I removed it.