I usually wake up with one at age 60, having first noticed them some time around 12 or 13 years old. And I get them throughout the night in my sleep, too, as my bedmates have always observed. My stiffies even wake me up from the discomfort if I fall asleep wearing restrictive clothing, the main reason I sleep naked below the waist, usually only wearing a T-shirt top against getting a chill in my shoulders.
When I was a young US Army enlisted soldier sleeping in the barracks, morning boners were initially an embarrassment for all of us. Sometimes I'd wake up early, and see these fleshy poles sticking straight up through the open flys of the boxers in which we all slept, of the sleeping guys who had lost their bed covers during the night. We'd linger in bed before getting up, trying to lose our hardons, a slow process at that age, the Drill Sergeants barking at us to hit the floor NOW!
One morning one of my roommates, in an 8-man squad room, asked if we were all delaying getting out of bed because we were hard. We all laughingly admitted we were, at which point he said what the hell, we're all men, we all get them, it wasn't queer, we've all seen them, and he wasn't wasting any more time.
He jumped out of bed and stripped off his regulation boxers to go take his shower, and off he marched down the hall to the latrine, stark naked with just a towel and shaving kit in his hands, his bobbing boner pointing the way. We quickly lost our own inhibitions and started doing the same thing, sometimes still sporting wood together in the open gang shower. Those were good times! LOL!
And BTW, our Army slang term for them was "piss hardons" since we'd usually lose them as soon as we took our morning pee (in some latrines that was into a long open trough -- now THAT was a sight!), leading to the conclusion they were the result of having a full bladder. I think the reality is more complicated than that, but that's what we called them.
So you're OK, it's what all healthy men do, not gay at all, though not openly discussed a lot in polite US society. It's so normal that US doctors will ask if you're getting morning erections, to eliminate certain physical causes in men who are having erection problems during sex. You're SUPPOSED to get them, and if you don't then you may have a medical problem.
It's not a culturally acceptable thing here to flaunt them around your parents, but I don't know the customs in India. I know I always hid mine from my own parents, though probably not very well at times, nor the spontaneous ones I'd get in the middle of the day.