Unlike ancient philosophical terms, 生物 (shēngwù) is a relatively modern scientific term, adopted into Chinese as a direct equivalent of the Western concept of “biology” and “organism.” Its primary significance is in the realms of modern education, science, and environmentalism in China. While traditional Chinese philosophies like Daoism have profound concepts about nature (自然 zìrán) and the flow of life, 生物 is used in a more clinical, categorical way, just like “organism” in English. It's a word of science, not of poetry or ancient philosophy. Comparing it to a Western concept is straightforward because it *is* the Western concept. The key takeaway for a learner is to recognize that this word belongs in a modern, scientific context. You would discuss 生物 in a classroom or a documentary about nature, but you might discuss the more abstract concept of 生命 (shēngmìng, life) when talking about philosophy or the value of one's existence.
生物 is used frequently in specific, non-figurative contexts. Its connotation is neutral.