There are push lock clips directly above the headlights. You will need to use a thin screwdriver to pop these out. There are two in the bottom outside corner, you can reach up from the bottom and push them off of the body or use a putty knife. There are two about half-way between the headlight and the middle of the grill on the top, a putty knife can also be used for these two.
There is a single screw in the top middle of the grill just above the logo on the right hand side. It will need to be removed. There are two more mounts just above the bottom of the grill, just to the left and right hand side. For these two if you are lucky you can pull and they will just pop out. Otherwise you will need to pull the top of the grill forward and manually push them out.
Chances are you will break one or two of the clips, just make sure you don't damage the grill. The mounts can be ordered from your local Suzuki dealership, they are pretty cheap so don't feel bad about breaking them.