Ya there's this girl I like at school but I dontknow if she likes me I have no idea what 2 do and if this helps you answer more correctly my parents very strict

You write one sentence and you expect us to give you a rational answer? Come on man ;)

I will turn to my crystal ball and then give you an answer... hang tight

Talk to her
Be her friend
Ask her if she likes you
Have lunch together
Buy her flowers
Ask her to a school dance
Send her a note

Kc, just shook my magic 8 ball and it said "come back later"

My magic marble says talk to her, and find out how she feels about you. How old are you??

I think that it is sweet that you are wanting to investigate the best way to go about this and that speaks well for the character that you have.
Since you made the point to express that your parents are strict and since I am a bit of a strict parent of a 15 yr old going through some of this same stuff, I am going to advice you like I did him. With regard to the girl, just ask her. Spend time around her, try to be helpful... put yourself on her radar...
Second
My advise to you would be to have a conversation with your parents about how much or what type of dating for your age is appropriate and within the scope for them. What are they willing to help you out on or allow you to do? Rides to the Movies? Extra jobs to ear some money to date? Have your friend to your house? Talking on the phone until what hour of the night etc.
Then when you know what your boundaries are and what you are comfortable doing you can then start asking your friend if she would like to do stuff with you.
Take it slow, get her number, call her, get comfortable with her and then spend time with her, depending on your age you may want to consider doing things with a group of kids first. Have fun, always be yourself. These are meant to be great years, don't let it stress you out. Enjoy!

My mom is actually the one with the pants in the house and umm she talks to me about stuff like sex and what not, I'm 14 going on 15, she doesn't really allow me to do anything I can't even get a job unless my dad lets me, that's right my parets are divorced kind of stinks because they are going to be going to court soon and I guess my dad wants me to go, I just don't know how to talk to my mom

Uhh... you seem like such a nice kid..
I'm sorry about the divorce.. I bet it must be hard for you.. good luck..

About the girl... first you smile to let her know you notice her.. then let some time pass (a few minutes to a day) and approach her and start with the basics,, Hi, how are you, my name is,. and if you notice you and her have something in common then immediately use it to your advantage to start a conversation.. but if you don't notice anything then you can always complement her (on her earrings, or hair) and see where that leads you...
Good luck little kid!

We hang out and talk a bit usually sit with her at lunch

Just ask her, nothing ventured, nothing gained.

Since you hang out together in lunch you should have no problem asking her out... Are your parents/mom holding you back?

I guess if you parents are then you are going to have to talk to your mom and tell her you want to go out with a bunch of friends to a movie or a dinner...
(Thats if your mom does not want you to go on a single date since you are still young... )

So you should try to arrange with your friends a day to go out and make sure the girl will come... when you go out with your friends give that girl more attention then the others and start any conversation with her.. hopefully then she'll get the hint you like her..

Is this the sort of answer you want.. or is there something else you want help with?