That is correct. You want a pump that will take water from your tank and push it through a tube into the "intake" of your chiller. Then connect a tube from the "output" of your chiller and back into the tank. Your chiller can use either 1/2" or 5/8" tubing (inside diameter). There are a couple things to consider about which pump to buy:
Based on the specs of your chiller and pumps, my ballpark estimate is that you can only expect a 5 to 10 degree pulldown below the room air temperature (unless you insulate the tank). You said you intend to put the pump in the tank. That would be a submersible pump as opposed to an external pump, which would be in the air, outside the tank. A submersible pump will add more heat to the water than an external pump, and make your chiller work harder, or (more likely) not be able to keep the temp as low.
What animals do you want to keep? A power head can be a "tenticle blender" for a curious octopus, so an external pump would be safer for an octo. Also, the extra tubes going in and out of your tank would need to be made escape proof for an octopus.
This is a bit off topic, so feel free to ignore the following

:
Before you run water through this chiller (and maybe lose your ability to return or exchange it) You want to be sure it will be powerful enough to do what you need. What animals are you planning to keep? How many degrees below room temp do you want to keep your tank? Is your tank insulated? Is it glass or acrylic?