Everything humans do is simply a matter of following a natural-selection-generated set of instructions, bootstrapping from the physical machinery of a single cell. Neurological processes work together in the brain to produce intelligence in humans, at least as far as we can tell. Removing parts of the human brain (via disease, injury, surgery, etc.) can reduce different aspects of intelligence, so it's not unreasonable to think that humans are also a pile of algorithms united in a special way that leads to general intelligence and that AI efforts are only lacking some of the pieces and a way of uniting them. As researchers put together more and more of the individual pieces (speech and object recognition, navigation, information gathering and association, etc.) the results probably won't look like artificial general intelligence until all the necessary pieces exist and it's only the integration that remains to be done. For example there's another article today about the claustrum in a woman that appears to be an effective on-off switch for her consciousness, strengthening the evidence for consciousness being an integration of various neural subsystems mediated by other regions that produce consciousness.
It's important to consider that AGI may act nothing like human or animal intelligence, either. It may not be interested in communication, exploration, or anything else that humans are interested in. Its drives or goals will be the result of its algorithms, and we shouldn't discount the possibility of very inhuman intelligence that nonetheless has a lot of power to change the world. Expecting androids or anthropomorphic robots to emerge from the first AGI is wishful thinking. The simplest AGI would probably be most similar to bacteria or other organisms we find annoying; it would understand the world well enough to improve itself with advanced technology but wouldn't consider the physical world to consist of anything but resources for its own growth. It may even lack sentient consciousness.
Producing human-equivalent AGI is a step or two beyond functional AGI. Implementing all of nature's tricks for getting humans to do the things we do in silicon will not be a trivial task. Look at The Moral Landscape or similar for ideas about how one might go about reverse engineering what makes humans "human" so that the rules could be encoded in AGI.