underneath the bridge is the coil. The coil sits in a cup that can hold some liquid. Also the cup is surrounded by some kind of absorbent material that soaks up the liquid also.
Secondly inside the coil is typically a wick that should be able to extract the extra liquid from the absorbent material and gets it to the heating coil to be vaporized.
If you are going to be dripping you will want to purchase a bridgeless atty in the future. The bridge is just obstructing things when dripping. With a bridgeless atty you will see what I am describing here.
Typically when you buy attys you do not get drip tips, so that's more than likely why you did not get one with the atty. Since you have a provari I am assuming it is a 510 atty, and I personally like the Ming drip tips from Cherry Vape myself. Although any 510 drip tip should fit from any vendor.