Speaking like a native is the ultimate goal of language learning. It is a goal that is almost never achieved. However, that is no reason not to aspire to this lofty goal, even in the knowledge that we will not get there. It is like wanting to play golf like Tiger Woods or play the piano like Charles Richard-Hamelin.
To pursue this dream we need to immerse ourselves in the new language, listening, reading, speaking, writing, and savouring the language. We need to commit ourselves emotionally to the language. We need to like the language, and at least some parts of the culture, in order to want to imitate the behaviour of the native speaker. The native speaker is the model, the unattainable goal that we want to emulate. We want to imitate how they pronounce, their intonation, their use of words. This means we really want to be like them, even to be them.
If you have not already experienced this phenomenon of transforming yourself into a fluent speaker of another language, you probably doubt you can do it. But I know you can. Once you have done it for one language, the doors open up to doing it for other languages as well. I have done it more than a few times. It is a wonderful experience, and yet I don’t speak like a native in any of the foreign languages I speak.