The same principle will apply to citizens of other countries if they satisfy the conditions for Norwegian citizenship. Those who have lost their Norwegian citizenship under the existing rules will be able to reclaim it. The new rules will not enter into force for at least a year. Until then, the existing rules regarding dual citizenship still apply.
The Directorate of Immigration (UDI) is the central agency in the Norwegian immigration administration, and can answer questions about the citizenship rules. Here is the contact info for the UDI. The Directorate also published a news article on dual citizenship after the resolution was adopted by the Storting.