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It's funny because I'm thinking about the AIDS thing all logically and true to life, and yet the question of the boy being his real son I think about in such a romantic unrealistic way.
I would say that, it's hard to say whether he or her son had HIV, Forrest less likely because it's really hard to pass from female to male. But her son very well may have had it. The boy was what, 5, when he met Forrest? That's plenty of time to live with HIV and not have it become AIDS where he would appear sick. I don't think Forrest had it though, if I were to guess.
But I find it obvious the boy would be his son, because it's meant to be because they are true loves!! Even if Jenny is all messed up emotionally and can't give her love to Forrest, they're still true loves, you could even say soulmates. So to me, a romantic, it would make sense that they make a baby after one night together. It's a movie!!
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"so i turned away, because i didn't want to see. just like everybody else."
"If dreams are like movies then memories are films about ghosts"