He is accused of being a member of two far-right groups and possessing a copy of the Christchurch mosque shootings video.
However, the hearing will take place in private after Chief Judge Kevin Riordan issued a minute stating media were not to attend.
By law, reporters can be asked to leave a court if security levels exceed a certain threshold, namely when discussions are centred around national security.
The soldier, who has interim name suppression, was arrested in December 2019 after a joint investigation by police and the New Zealand Defence Force (NZDF).
The resumed proceeding is to consider an application by the accused, who is seeking an order from the court that a non-party disclosure hearing be conducted.
It relates to the New Zealand Security Intelligence Service and the information proposed for disclosure was highly classified.
The hearing began on March 30 last year in open court but media were later excluded after a ruling was made that the remainder of the sitting should be held in closed court.
But it was adjourned soon after, as it became evident the recording machinery, and the related processes for recording and retention of the transcript were not in compliance with the protective security requirements applicable to the documents and their content.
“Given the nature of the material involved, it is not appropriate to explain this circumstance in greater detail,” Judge Riordan said in his minute.
“The court remains alive, however, to the principle of open justice and will consider the continued validity and justification for the [closed court] order during the course of the hearing and in any relevant subsequent proceedings.”
The NZDF said in a statement that the proceedings had been delayed by a year as specialised stand-alone stenography devices were acquired from overseas.
The accused soldier will not attend the pre-trial hearing and remains under open arrest.
