Will our sun become a supernova?
The Sun does not have enough mass to become a supernova because its mass is less than the Chandrasekhar mass (approximately 1.4 Suns) and it has no way to gain mass.
When the Sun comes to the end of its life (In about 5 billion years) [See Link] it will slowly emerge into a red giant. The dying Sun will then throw off its outer layers, forming a nebula. The only object remaining will be the extremely hot core, which will slowly cool and then fade as a white dwarf over many billions of years.
Interestingly, the fact that our solar system contains heavy elements indicates that supernovae have occurred here before. Our sun is probably the third star to exist in this cosmic neighbourhood, and our solar system formed from the particles left over from prior stars destroying themselves in spectacular manner
Links are provided below for more information.