Crush the garlic with a garlic press, scraping out all of the flesh in between pressings and place in a medium bowl or 4 cup measuring cup.
Add the lemon zest, chopped shallots, salt, pepper, lemon juice and white wine and whisk together.
Whisk in the olive oil until it is well blended.
Place the chicken breasts and lemon slices in a container large enough to hold all of the meat and the marinade, preferably a plastic container with a secure lid. (A large/gallon Zip Loc bag also works well - just place it in a bowl or baking dish in case it leaks.)
Pour the marinade over the chicken, making sure the chicken is completely submerged. Cover the container and place in the refrigerator to marinate. Allow to marintate at least 4 hours, preferably overnight.
Remove chicken from the refrigerator about an hour before you are ready to cook. (Note - you can cook up to 2-3 hours in advance of serving.)
Prepare your grill - either gas (propane) or charcoal. While the grill is heating or your charcoal is getting to the appropriate readiness, remove the chicken from the marinade and place on a platter.
Pour the marinade (including the lemon slices) into a 10" saute pan or a medium saucepan and bring to a boil. Once it has come to a boil, reduce to medium and allow to cook for 5-7 minutes to ensure all bacteria have been cooked off. Add another 1/2 cup white wine and reduce heat to simmer and partially cover allowing to reduce by about 1/4.
Grill the chicken over medium-high heat for about 5 minutes on one side, covered, until it is not sticking and can easily be turned (it should have good grill marks or be lightly charred). Flip the chicken to the other side and cook for another 3 minutes, covered. After 3 minutes, reduce the heat to medium to medium-low and cook for another 3 minutes.
Removed the chicken from the grill and allow to rest on a platter. If not serviing right away, cover with foil and allow to rest and keep warm for up to 2 hours.
While the chicken is resting (or just before you are ready to serve) add the olives to the marinade. If the marinade has reduced too much, add a bit more wine and bring to a boil to cook off the alcohol, then decrease the heat and allow to simmer.
Pour the olive sauce over the chicken and garnish with additional lemon slices. If serving as part of a buffet, cut the chicken in half on the diagonal.
Serve with wild rice, rice pilaf, or Mediterranean Quinoa Salad.