Creating this delightful soup is a straightforward process that involves a few simple steps. Follow this numbered list to ensure you achieve the best results.

1. Prepare the Tomatoes: Begin by washing the tomatoes and cutting them into quarters. If you prefer a smoother texture, you can peel them by blanching them in boiling water for about 30 seconds and then transferring them to an ice bath. The skins should come off easily.
2. Sauté the Vegetables: In a large pot, heat the olive oil over medium heat. Add the chopped onion, garlic, carrots, and celery. Sauté for about 5-7 minutes until the vegetables are soft and the onion is translucent.
3. Add Tomatoes and Tomato Paste: Stir in the quartered tomatoes and tomato paste. Cook for an additional 5 minutes, allowing the tomatoes to begin breaking down.
4. Simmer with Broth: Pour in the vegetable broth and bring the mixture to a boil. Reduce the heat to low and let the soup simmer for about 30 minutes, allowing the flavors to meld together.
5. Blend the Soup: Use an immersion blender to puree the soup until smooth. Alternatively, you can transfer the soup in batches to a countertop blender. Be cautious with hot liquids to avoid splattering.
6. Incorporate Basil and Cream: Stir in the fresh basil and heavy cream. Allow the soup to simmer for another 5 minutes. Taste and adjust the seasoning with salt, pepper, and sugar as needed.
7. Serve Hot: Once the soup is well-blended and seasoned, remove it from the heat. Serve hot with your choice of garnishes.