No, the time dilation caused by the Sun's gravity does not make its emitted light reach us later than 8 minutes. The concept of time dilation arises from Einstein's theory of general relativity, which states that gravity can cause a distortion of space and time.
In the case of the Sun's gravity, the general relativity predicts that time runs slightly slower in the vicinity of a massive object like the Sun compared to a location further away from it. This means that clocks closer to the Sun will tick slower relative to clocks farther away.
However, the time dilation effect due to the Sun's gravity is relatively small. It is not significant enough to cause a delay of more than 8 minutes for the light emitted by the Sun to reach us on Earth. The speed of light is approximately 299,792 kilometers per second, and it takes approximately 8 minutes and 20 seconds for light to travel from the Sun to Earth. This time includes the effects of both the distance between the Sun and Earth and the constant speed of light.
So, while the Sun's gravity does have an impact on the passage of time, it does not noticeably affect the time it takes for light to reach us from the Sun.