A black hole is not a cosmic vacuum cleaner

At Earth’s distance, a black hole with the Sun’s mass would pull on Earth almost the same way the Sun does: the orbit depends on mass, not on how tightly that mass is packed. So in the imagined scenario where the Sun is instantly replaced by a same-mass black hole, Earth would keep orbiting on nearly the same path. But without sunlight and heat, Earth’s surface would quickly cool; this is a hypothetical example, not the Sun’s possible end state.