Pour your extra virgin olive oil into a small cup and heat your grill or griddle to medium. You can grill all these ingredients inside or outside but you want to make sure that the heat is on medium and whatever you're grilling on is warmed up. For this receipt with used a cast iron griddle.
Slice your peaches and then brush them with the olive oil on both sides. Grill skin side down first. Grill 5 minutes and then flip over to grill for another 3-5 minutes
Slice your red onion and cover both sides with some extra virgin olive oil. If your surface is large enough, grill your onion at the same time you grill your peaches. I slice them but keep the rings together to make grilling easier. Grill 3-5 minutes per side.
While your peaches and onions are grilling, wash and plate your arugula. You can serve it on a cutting board like I did or serve it in a bowl.
Slice your burrata in half and put aside. Handle it gently. The cheese on the inside is delicate and it will not stay put once you slice it unless handled with care.
Slice your French bread and cover both sides with what's left of your extra virgin olive oil. Grill each side 2-4 minutes. Watch this carefully. You don't want it to burn.
Once done grilling, add your warm peaches and onions to your arugula.
Add your burrata.
Add additional fresh salt and cracked pepper as desired.
Put bread on the cutting board or serve on a separate plate if you decide to use a bowl.
Drizzle your dressing over everything and serve!