Re: Is the sentence "I'm seeing a movie without watching"correct?
If you are trying to find the nuance between "watch" and "see" I would suggest (perhaps!) that if your eyes are directed at something, you're watching it, but to really see something requires you to take notice.
For example, if I am watching my daughter's softball game, I still may not SEE a particular play because it didn't have my attention. To see something, your mind has to notice it too.
I would equate watch/look with listen, but if you see and hear, then your mind is engaged.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.