No, Betelgeuse, a red supergiant star in the constellation Orion, is not expected to become a black hole. While it is true that Betelgeuse is nearing the end of its life and is likely to go supernova in the relatively near future (astronomically speaking), it is not massive enough to leave behind a black hole as a remnant.
When massive stars exhaust their nuclear fuel, they undergo a supernova explosion, releasing an enormous amount of energy and leaving behind a compact object. The type of compact object formed depends on the mass of the star. For stars with initial masses similar to or less than about 20 times that of the Sun, the most likely outcome is the formation of a neutron star, which is an incredibly dense object composed mainly of neutrons.
Black holes, on the other hand, are formed from the remnants of extremely massive stars. To form a black hole, a star needs to have a mass several times greater than that of the Sun. Betelgeuse is estimated to have a mass between 8 and 20 times that of the Sun, which is not within the range necessary for black hole formation.
Therefore, based on our current understanding, Betelgeuse will likely end its life in a spectacular supernova explosion, but it is expected to leave behind a neutron star rather than a black hole.