From what I understand, even the $10 billion Webb telescope isn't likely to find evidence of life on exoplanets. That will be the task of a future telescope, capable of performing spectroscopic examination on a very large number of rocky planets in habitable zones. A clear marker of biological activity would be detection of chlorophyll. A null result after examination of, say, 100,000 candidate planets would be disheartening, but at the same time provide clarity. In a galaxy with some 100 billion stars, there could still be life elsewhere ... but given the gulfs in distance and time, it could be an academic question, of no relevance to humans.
In the very distant future, our "descendants" (for certain values of the word) could still explore the length and breadth of the Milky Way, but they will either be purely mechanical embodiments of artificial general intelligence ... or genetically engineered organisms capable of withstanding millenniae of interstellar travel. If the latter, my money is on cognitively enhanced tardigrades. These tiny animals (please don't call them ugly!) are already famed today for resilience and longevity in the harshest conditions including airlessness, radioactivity and cold. Perhaps a smattering of human DNA will be preserved in the genome of the tardigrades-plus (for sentimental reasons).