Preheat the broiler to high, or heat a gas burner to medium-high.
Char the whole peppers on all sides, turning every few minutes, until blackened and blistered all over, about 10 to 15 minutes.
Transfer the peppers to a bowl and cover tightly. Let steam for 10 minutes.
Once cool enough to handle, peel off the charred skins, then remove the stems and seeds. Tear or slice into strips.
Whisk the tahini and lemon juice together. It will seize and thicken; keep whisking.
Add the water a tablespoon at a time, whisking, until smooth and pourable. Stir in the garlic and season with salt.
Arrange the peppers on a plate, drizzle with olive oil and salt, then spoon the tahini dressing over top.
Scatter parsley and toasted pine nuts or sesame seeds on top before serving.