I can only speak from my own experience of course, so treat this as anecdotal at best, and NOT intended to represent anyone else, or describe what may or may not be a 'typical' experience of someone who is bisexual.
I had my first 'crush' on a girl when I was 8 years old. I can still remember her name, Lori, and what she looked like. There was something in her face, in her smile that attracted me to her. When she smiled she had the cutest dimples you ever saw, and I can clearly remember feeling an urge to lean over and kiss her when she smiled like that. Interestingly enough, even at 8 years old, long before I knew what sex was, and before I knew words like gay and bisexual meant, I had already picked up on the fact that I probably shouldn't tell her that I liked her. So I never said anything, but I certainly did have a crush on her.
All through my teenage years, even as I began dating boys, some girls would simply catch my eye. Something in their hair, or their face, or the way they walked would attract me. But I never approached a girl or in any way let it be known that I was attracted to women. I was a little confused by it myself. I was attracted to boys too, and I honestly didn't know what to make of the occasional fascination I felt towards some girls.
Then, when I was 17, I had my first experience with a girl. It was more of a dare really, I was double dating with my boyfriend and his best friend, we were all a little drunk, and somehow I was dared to go down (I didn't call it DATY then lol) on her. Talk about a transformational experience. The heavens parted, the earth moved, all that jazz. After that, there was no more confusion at all! I kissed a girl and I liked it as the song goes! Actually, we didn't kiss, she wouldn't, but I got to kiss other parts and I really really like it.
So from the age of 17, there was never any question in my mind that I was bisexual. But I was still pretty confused. This, I think is where one person differs from another. I knew that I loved the scent and taste and feel of a woman, yet I've never had any urge to date a woman. I adore a woman's body and could spend hours savoring her curves and soft folds. Sexual intimacy then, is not a problem. I very much enjoy that. Yet my desires toward men and women are quite different. Not only do I love sexual intimacy with men, I have only ever desired emotional intimacy with a man.
So to answer your question from my own experience, there is no doubt in my mind that I was simply wired this way. It is without doubt biological with me. But I in no way pretend that I can speak for the experiences of anyone else. There is no doubt that others have come to their conclusions about their sexual preferences in a completely different manner than I did.