Is it normal to be awake and not able to move?

As weird as it seems, it's normal. It's called sleep paralysis, and every healthy brain does it; it's just that most of the time, we're asleep when we're under its effects.

In your dreams, you're probably really active, but your body stays mostly still aside from a few little twitches. That's because your brain has shut down your ability to act out your dreams as you sleep. Every once in a while, you'll wake up while that order to remain immobile is still in effect, and you'll become conscious of the paralysis. It's sometimes accompanied by leftover images and thoughts from dreams, which can make it pretty alarming as it happens.

You can't really stop it from happening, but it might help to know that it's a common event and not something wrong with you. It's not scary when you realize that "Oh, this is just my brain making sure I don't jump to my death trying to fly."

I'd be more scared if u saw things like a shadow man, people have reported that seeing a shadow man during sleep paralysis cause ur brains still in dream mode

It's normal.

Believe it or not, if you watch the new GI Joe movie that just came out, there's a mention of this effect. Your brain produces a chemical that inhibits any motor function while it's asleep, and sometimes it fires at the wrong time.

Yeah ProseAthlete is right it happens when you wake during a hypnogogic state

Completely normal, as everyone else has said it's sleep paralysis. You can make this happen your self if you concentrate on doing so however it's usually done when trying to enter a lucid dream.

omg this happened to me. my sis was also sitting in my bed with me, i lied down and then it happened. she started screaming. and it was REALLY ironic because it happened RIGHT after we were talking about how Medusa can turn people into stone. I felt like I was turned to stone!

I've experienced this before. It scared me a lot when it was happening but after researching it I realised it's normal. It's called sleep paralysis.