I have a shoplifting felony can I marry my immagrant boyfriend and apply for papers

You can marry your boyfriend regardless of the conviction. Whether you can obtain papers will depend upon more specific facts about the crime. Shoplifting is a crime involving moral turpitude. You may qualify for a petty offense exception or may need a waiver. An experienced immigration attorney will need to review the criminal record to make a determination. You can read more at http://myattorneyusa.com/criminal-aliens.