You don't have to pursue enlightenment. You can just continue as you are.
According to Buddhism, while you maintain your craving for life, you will be reborn endlessly. You won't remember your past lives, yet you will always possess something of them. Even after the universe ceases after hundreds of billions of years or more, it will come back (for another aeon), and you will be reborn too. And you can be reborn in various realms, from hell, to animals, to ghosts, to humans, to angels (devas) and more. It goes on forever.
But it's not all adventure. According to the Buddha, all of these are impermanent (no everlasting happiness) and all of these are also suffering. Existence is suffering. Why? You are born, suffer from diseases, suffer consequences of actions, experience roller coasters of emotions, lose all your loved ones, grow old, and die. And repeat. This goes on forever.
This is not a pessimistic or morbid view. Yes, you can live life to the fullest. You can embrace and look forward to all the happy moments and time spent with your loved ones. But it will definitely not last. Unhappy moments too will come and go. And you will experience these endlessly without break. But this only describes human lives. In other types of lives, the outlook could be different.
If you don't see existence as suffering, then you don't have to seek enlightenment. But if you do, then for you, enlightenment would be the ultimate death of suffering.
If your concern is regarding what lies ahead, in Nirvana, then Buddha has explained that too in Samyutta Nikaya 43 as "the unfabricated (unborn?), the uninclined, the truth, the far shore, the subtle, the very difficult to see, the unaging (eternal?), the stable, the unintegrating, the unmanifest, the unproliferated (nippapancan), the peaceful, the deathless, the sublime, the auspicious, the secure, the destruction of craving, the wonderful, the amazing, the unailing, the unailing state, Nibbana, the unafflicted, dispassion, purity, freedom, the unadhesive, the island, the shelter, the asylum, the refuge, the destination."
Nirvana holds the promise of a secure, peaceful, permanent refuge which is free from suffering.