Combine 300ml warm water, yeast, salt and sugar in a small bowl. Stir with a fork. Cover. Stand in a warm, sunny place for 5 minutes or until bubbles form on the surface.
Sift flour into a large bowl. Add yeast mixture and 2 tablespoons oil. Mix to form a soft dough. Turn dough onto a lightly floured surface. Knead for 5 minutes or until elastic. Cut dough into 4. Place on a greased baking tray. Cover with a clean towel and stand in a warm place for 20 minutes or until dough doubles in size.
Roll each piece of dough into a rectangle. Place one-quarter of spinach over half of each rectangle. Top with a quarter of the feta and season with salt and pepper. Sprinkle with a quarter of the pine nuts. Fold dough over to enclose filling. Press edges together to seal.
Preheat a barbecue plate or frying pan on medium-high heat. Brush one side of each gozleme with 2 teaspoons of oil. Cook for 2 or 3 minutes or until base is golden. Brush uncooked side with remaining oil. Turn over and cook for 2 to 3 minutes or until golden and crisp. Cut into quarters and serve with lemon wedges.