This new paragraph clarifies for organizations the circumstances under which they may accede at their discretion to the legitimate requests of government institutions for personal information, for national security, law enforcement and administrative purposes where they have lawful authority.
Organizations can often decide for themselves whether they would like to share personal information with government institutions. 
The context states that the paragraph will talk about circumstances in which organizations "may accede at their discretion", which means that they can decide for themselves whether they would like to share the personal information. 
( z1 possible :ARG1 ( z2 decide :ARG0 ( z3 organization ) :ARG1 ( z4 truth-value :polarity-of ( z5 like :ARG0 z3 :ARG1 ( z6 share :ARG0 z3 :ARG1 ( z7 information :ARG1-of ( z8 personal ) ) :ARG2 ( z9 institution :mod ( z10 government-organization :ARG0-of ( z11 govern ) ) ) ) ) ) ) :mod ( z12 by-oneself ) :frequency ( z13 often ) )