Vector 3 pedals and Shimano

I am relatively new to cycling and ordered the vector 3 pedal.  Based on look they seemed to be the same as my Shimano pedals.  I thought there was only two types of pedals (2 hole and 2 hole) with just different manufacturers.  I am to understand that this is incorrect, and the Garmin Vector 3 pedals will not work with my shimano shoes/cleats?  IF this is true, does Garmin make a Vector 3 for Shimano shoes/cleats?  Are all three hole shoes the same and just the cleats different so I can keep my shoes?  Or would I need to switch those out too?