If you identify as male, your body is a male body, and you are a "biological man," because that's how your brain is wired.
Gender is a social construct. It's humans, not science or biology itself, that labeled certain chromosomes and certain anatomy and certain secondary sexual characteristics "male" and "female," when the reality is that those features don't always appear exclusively on "male" or "female" bodies, it's simply a best-fit grouping of typical associations which usually correlate.
You are a man, therefore your body is a man's body. It doesn't matter whether you match society's definition of a "man" or not, or if you're on hormones or not, because in reality these are just the results of a genetic lottery then being filtered through the biased judgments and perspectives and preconceptions about what makes someone one gender or the other that other people might hold. Some people pass as cis without hormones and would still be considered to have a "man's body" even without them, while some people, even with hormones, still aren't perceived as having a "man's body." Does one have a man's body but the other one doesn't? Ultimately it's all about perception, and all about societal assumptions, which makes having a universal "you are now a man after this point" physical standard impossible, apart from one's own identity.