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Black holes are formed when stars which are about 10 times the mass of our Sun or higher use up all their fuel and explode. Eventually they collapse under the weight of their own gravity and form a black hole.
Now if our Sun became a black hole:
Firstly, it would be less than 6 kilometers across.
Secondly, no guesses here, everything will be pitch dark as there will be no more sunlight.
Thirdly, without sunlight, life as we know it will slowly but surely wither away.
Fourthly, planets in the solar system will not get sucked into the black hole though.
Why?
Firstly, Sun will not contain more matter than it has now.
Secondly, Sun's position with respect to the planets will not change.

Reference:
https://spaceplace.nasa.gov/review/dr...