The minimum wage is the least you can be paid per hour, by law. You are entitled to earn at least the highest minimum wage that applies to you, whether the standard is federal, state, or local. The federal minimum wage is currently $7.25. If your city or state has passed a law setting a higher minimum wage, your employer must pay you at least that higher amount per hour; it cannot pay you the lower federal minimum wage instead.
The minimum wage represents gross earnings: earnings before deductions, such as tax withholding, are taken. Your actual take-home pay may be less than the minimum wage.