Sirius is a luminous star in comparison to the Sun, and rather more massive (its mass is about double that of the Sun). In comparison with other stars, though, it is not notably luminous, and its particular brilliance in the sky is largely due to its being the seventh closest star to the Solar System.
Sirius is a binary system. As well as the bright white star we see in the sky, Sirius A, the system also contains a much fainter white dwarf star, Sirius B, with a mass very close to that of our own Sun. The two stars orbit one another over a period of fifty years.
The presence of a white dwarf in the Sirian system means that it did not always appear as it does now - at one time, Sirius B must have been a red giant star. Indeed, there is some slight evidence that it only completed its collapse into a white dwarf within the last few thousand years - ancient records seem to refer to Sirius having a reddish appearance, which may, just possibly, refer to the dying glow of Sirius B's red giant phase.