The Immigration Appeal Division of the Immigration and Refugee Board of Canada hears appeals on failed sponsorship applications, challenges by the government that a person has not met his or her minimum permanent residence obligations, and on removal orders issued against individuals. 

The appeal process before a single hearing officer is very similar to an appeal in a court. Evidence should be filed in advance (usually by way of affidavits and exhibits), witnesses can be called to testify at the hearing, and legal arguments are made (usually in both written and oral submission form). While cases are fact-specific, past precedent of other earlier IRB and court decisions is important. 

While completing basic immigration application forms is certainly doable by yourself, it's strongly suggested that legal counsel be retained for an IRB appeal. Rules of evidence and rules of procedure can be complex. While a tribunal is supposed to be simpler than a court, you've only got one shot to make a good impression, and this is definitely a legalistic process.