Hi Smitha,
As John Baird said to you, submit you invoice based on the hourly rate * hours worked.
You may already know this, but since you mentioned you were new to this - another piece of advice is to find out whether you'll need to pay quarterly taxes. (I don't know if you're living in the U.S. now, so this may or may not apply, I'm not sure).
In the U.S. if haven't paid a certain % of your tax liability by January (I think it's 90%), I believe you'll be assessed some type of penalty when you file your tax return next spring. So by paying estimated quarterly taxes, you avoid having to pay a large amount at the end of the year, and you'll avoid a penalty. But you should check with an accountant or tax attorney to find out the details and how they would apply to your case.
Kevin