Slice up the peach and place onto a hot grill (either a grill pan on your stove top, an outside grill, or a George Forman would work here too) for about 1-2 minutes on each side or until grill marks appear.
Assemble arugula in a bowl and add walnuts and crumble some goat cheese on top.
Drizzle some olive oil and balsamic vinegar. Top with peaches and enjoy!