I have studied a lot of the theory behind second language acquisition. Indeed, acquiring a language, even a second language, is a subconscious process. Or rather, learning a second language is a process that usually happens consciously and subconsciously in parallel. There have been debates whether conscious knowledge turns into subconscious one (skill automatization) or whether there are multiple learning systems that learn independently (the so-called no-interface position
https://en.wikipedia.org/wiki/Interface_position ). The debate is not settled.
However, that doesn't mean that the process of acquiring the language isn't effortful! Even the most hardcore no-interface positionists accept that the subconscious learning system uses linguistic input that is _processed_ for its meaning and _comprehended_ (called "intake" by some experts) as its source material. When you don't have automatized knowledge yet, comprehending is very effortful and cannot happen without focused processing. The theoretical debate is more about whether that processing requires "metacognitive" processes and declarative memory and automatizing those, or is just getting intake (input comprehended by one means or others, without regarding any "rules" or "deduction" or "explicit/system 2 thinking") enough. But all in all, it takes effort anyway, in the sense that you still need to focus, and you might get frustrated of not understanding enough, struggling to follow.
Also, there are some studies that claim that children don't pick up languages as effortlessly than is generally thought. Quickly? Yes. Often with good results (in terms of pronunciation and grammar)? Yes. But effortlessly? Not so much!