Are there websites specializing in the signs of Allah on Earth, and is the story of a girl being transformed into a monkey for throwing the Qur'an true?

There is no specific website for such matters. Allah demonstrates His power and governance in the universe through His signs, as He, the Almighty, said: "We will show them Our signs in the horizons and within themselves until it becomes clear to them that it is the truth." Many of the circulating news online may not be accurate, and a Muslim should not preoccupy themselves with searching for them. There is enough in the universe to increase a Muslim's faith and certainty.