Yes. You must carry liability insurance able to cover for maximum $25,000 for each person of the other vehicle, $65,000 for death or injuries and $50,000 property damage. In Utah, drivers must also carry an additional $3,000 in Personal Injury Protection coverage.
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.