This response is based on the information provided.  We suggest you discuss with your contracting team, program manager and/or legal department as appropriate. 

The FAR/DFARS/DFARS PGI do not define either word, so we follow FAR 1.108(a) guidance, "...undefined words retain their common dictionary meaning."

Generally, the government calls for items or processes to "conform to" standards, norms, etc.  The government directs items or processes to "comply with" standards, specifications, etc.  These words in common usage can be considered synonymous.  We suggest to the extent you are expecting a particular result you further explain what the government's intent is with the use of the term.  "The contractor shall conform to ISO. 9000, i.e., meet the standards described in paragraph ...."