Answer:
It depends on what process is being referred to. During DNA replication, both strands of the DNA molecule serve as templates for the synthesis of new complementary strands. This process, called semi-conservative replication, is the same for both strands of the DNA molecule.
However, during transcription and translation, which are involved in the synthesis of proteins, only one of the two strands of DNA, called the template strand, is used as a template for the synthesis of RNA. The other strand, called the non-template strand, does not participate in this process.
So, whether the same process is taking place with both strands depends on the specific process being referred to.