Does Nikon Nikkor 18-55mm F/3.5-5.6 G Aspherical II ED AF-S DX Black Autofocus Lens For APS-C Sensor DSLRS work on nikon d3200?

Does Nikon Nikkor 18-55mm F/3.5-5.6 G Aspherical II ED AF-S DX Black Autofocus Lens For APS-C Sensor DSLRS work on nikon d3200?

Yes

Because the Nikon D3xxx series of DSLRs do not have an internal auto-focus motor, you must buy lenses with an AF motor if you want the lens to auto focus. The AF-S series of lenses are lenses that do have an internal focusing motor, so yes, it's going to work just fine.
Here's a link explaining the various different types of Nikon lenses

It's the lens that's supposed to come with it.

Reading the relevant page of your manual will also be invaluable.

Yes. If autofocus is your concern, yes, it will work too. The D3200 will autofocus only with lenses that have a focus motor like those with the AF-S and AF-I spec.