Yes. There will be limitations on your license if you are under 18. During the initial six months after you have received your license, you will not be able to with a non-family member passenger who is under 20, and you will not be allowed to drive between the hours of 12 AM and 5 AM. After that first six, you will be allowed to have up to 3 non-family member passengers in the car with you, but you will still be unable to drive between 12 AM and 5 AM.
The documents that you will need vary depending on the insurance company to which you apply. Generally, insurance companies want you to submit proof of your identity, your driving record and information about the vehicle you would like to insure.