No, the Sun will not disappear in the foreseeable future. The Sun is a main-sequence star, and it is currently in the middle of its estimated 10-billion-year lifespan. It is currently about 4.6 billion years old, so it has several billion more years of active life ahead of it.
However, it is important to note that eventually, billions of years from now, the Sun will undergo significant changes as it exhausts its nuclear fuel. As the Sun consumes hydrogen in its core through nuclear fusion, it will gradually transform into a red giant star. During this phase, the Sun will expand and become much larger, potentially engulfing and destroying the inner planets, including Earth.
After the red giant phase, the Sun will shed its outer layers, forming a planetary nebula, and eventually leave behind a dense, hot core called a white dwarf. This white dwarf will continue to cool down and slowly fade away over a much longer timescale.
So, while the Sun will undergo dramatic changes in the distant future, it will not simply disappear. Its evolution is a natural part of stellar life cycles, but we have many billions of years before any significant changes occur that could affect the Earth.