The Crown is seeking to forfeit any property that was related to his sex crimes against children, including his house, SUV, a camper van and a variety of electronic equipment.
Prosecutors have said they want to either sell or destroy the property, which had been seized during the investigation.
Snook, 41, who also served as a youth ministry leader, was sentenced in October to 18 years in prison after pleading guilty to 46 charges, including sexual assault, making child pornography and extortion.
The offences spanned 12 years and involved 17 male victims, some as young as five years old.
Snook received an additional three-month sentence in December on four other charges stemming from his native Newfoundland and Labrador.
He admitted to two counts of sexual assault and two counts of sexual interference involving a boy under age 14 while he was a pastor with the now-defunct Salvation Army church in Mount Moriah in the mid-1990s.
The City of Saint John agreed during Wednesday's hearing to release any claim to the laptop, iPad and Blackberry supplied to Snook in his role as a second-term city councillor.
Provincial court Judge Alfred Brien asked whether those electronic items contain child pornography or if they were used in the commission of crime.
Crown prosecutor Michel Bertrand said no one knows what's on the laptop. Police were unable to penetrate the city's encryption system, he said.
The Crown's intention is to destroy the laptop, he added.