Apply for UI benefits. People seeking unemployment benefits can apply online, over the phone, or by mail or fax. All states require applicants to provide detailed work and personal information. Some of the data you will be asked to provide may include: 1  Full name. 2  Current address.3  Social Security number.pply for UI benefits. People seeking unemployment benefits can apply online, over the phone, or by mail or fax. All states require applicants to provide detailed work and personal information. Some of the data you will be asked to provide may include: 1  Full name. 2  Current address.