Cook the pasta according to package instructions until al dente.
Blanch the broccoli florets in salted boiling water for 2-3 minutes, then shock in ice water.
Drain the pasta and broccoli, then let cool in a large bowl.
Add the cherry tomatoes, red onion, and feta cheese to the bowl.
In a small bowl, whisk together the olive oil, lemon juice, oregano, salt, and pepper.
Pour the dressing over the pasta and vegetables, tossing gently to combine.
Taste and adjust seasoning if necessary, then serve immediately or chill before serving.