I don't have the details in front of me to go through it atom by atom, but, broadly speaking, an individual who wishes to get a firearms licence today would be required to take a firearms safety training course and pass it successfully. That safety training course involves both a written examination and a practical examination handling firearms.
They would also be subject to a review by a chief firearms officer who would vet their suitability for owning firearms, and the chief firearms officers would have access to various databases for that purpose. They're also free to contact the references that the firearms applicant has nominated to get a sense of the background or the history of the individual.
At that point, the chief firearms officer or the agent working for the chief firearms officer would then make an assessment as to whether the review has been thorough enough, and a licence could either be issued or rejected based on what they know at that point, or further investigation could be required and a CFO is entitled to proceed with additional investigations if necessary.
At the end of the day, the chief firearms officer, or CFO, will make a decision on whether the individual can be granted a licence or not. That decision is appealable to the courts, and the court has the final say on whether the individual can get a licence or not.