Look closely at the grille and bumper and determine if they are separate pieces.
Toyota changed to a one piece design sometime around 1999.
If a two piece system the grille can be easily removed by taking out a couple of bolts. Once out you will have easy access to the back.
How to Remove the Front Grille From a 1997 Camry | eHow.com
Look at the emblem, it has a couple of hooks at the top. The hooks are installed into the hole then the emblem rotated and pushed into the hole. Removal would be in reverse order.