To peel the tomatoes, keep a pot with water to boil and place fresh tomatoes in for 30-60 seconds. or until the skin shows some cracks. This is called blanching.
Take out tomatoes and place them into a bowl with ice cubes and icy water to stop the cooking process immediately. That way the tomatoes will cool off fast too.
Peel tomatoes with your fingers. The skin should come off easily now.
Cut peeled tomatoes into slices or larger dice.
Place tomatoes into a serving bowl or plate. Sprinkle salt, black pepper, olive oil, and freshly chopped basil leaves over that.
You can mix it up but the tomatoes might get a bit mushy. Otherwise, just serve as is room temperature or cooled.
Notes
If you use store-bought tomatoes, which might be treated with pesticides, I recommend that you place them into a large bowl with water and a tablespoon of citric acid. Citric acid won't harm your health but takes off all pesticides from your tomatoes. It comes clean off the tomato skin.
If you use larger tomatoes, cut them smaller or to your desired size. It's easier to eat bite-sized pieces.