No. The sun has an absolute magnitude of 4.83. By comparison, Betelgeuse has an absolute magnitude of -5.85. Lower numbers indicate a brighter star. In this case Betelgeuse is actually several thousand times brighter than the sun. The sun is the brightest star as measure by apparent magnitude, which is how bright a star looks from a given location and depends on both absolute magnitude and distance.
Alpha Persei (Mirfak or Algenib) is the brightest star in the constellation of Perseus.It has an apparent magnitude of 1.79 and an absolute magnitude of -4.50
The absolute magnitude
Gamma Orionis (Bellatrix) is the third brightest star in the constellation Orion.It has an apparent magnitude of 1.64 and an absolute magnitude of -2.72.This makes it the 27th brightest star in the nighttime sky.
The simple answer is that it does not: it does not even feature in the top ten!
Acrux is the brightest star in the constellation Crux.It has an apparent magnitude of +0.77It has an absolute magnitude of -4.14
Rigel is the brightest star in the constellation Orion.It has an apparent magnitude of 0.18 and an absolute magnitude of -6.7
Rigel is the brightest star in Orion and the sixth brightest star in the sky, with an apparent magnitude of 0.18.
Beta Centauri (Hadar or Agena) is the second brightest star in the constellation Centaurus.It has an apparent magnitude of 0.6 -> 0.8 (It's a variable star) or an absolute magnitude of -4.57
That is Sirius. Its "apparent magnitude" is minus1.5 approximately. Sirius is the brightest star in the sky for us on Earth, but it's not the most luminous star in "absolute magnitude". The main reason that it is so bright is just that it is very close to us.
The second brightest star is Canopus with an apparent magnitude of -0.72The brightest is Sirius with an apparent magnitude of -1.47
Beta Hydri is the brightest star in the constellation Hydrus, it is 24.4 light years from us and has an absolute magnitude of 3.43See related link for more information
Beta Aquarii, Sadalsuud, is the brightest star in Aquarius with an apparent magnitude of 2.89.