Combine the garlic scapes through the chile paste in a shallow bowl. Mix well then add in the chicken. Toss to coat and refrigerate for at least 2 hours.
Heat a saute pan with 1 tablespoon of olive oil.
Add the chicken and the marinade to the pan and saute for 6-8 minutes or until chicken is cooked through.
Add the broccoli to the pan and saute for 3 additional minutes.
Serve over top of rice.