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In terms of doing something useful with genetic information, a similar process is used - part of the strand is pulled apart, and using that sequence matching of complimentary base pairing, the sequence is "copied" into a new strand - this time made out of RNA rather than DNA. This process is used to copy small, useful chunks of information - individual genes - off the very long DNA molecule, which may contain lots of genes. The RNA copy is called a "messenger RNA transcript".
The transcript is then fed through a large protein called a ribosome, which examines the mRNA a little bit at a time. The coded information on the mRNA transcript - in the form of a sequence of RNA nucleotides - is translated into a sequence of amino acids, the primary sequence of the protein coded by the gene.
The primary sequence of amino acids defines the shape that the finished protein takes. That shape defines the behaviour and function of the protein. The specific combination of proteins produced by a cell defines pretty much everything about it's shape, appearance, and how it behaves in response to its environment. In this way, the information stored as DNA gets turned into the function of the cell - DNA sequence is copied into mRNA sequence (transcription) which is converted into amino acid sequence (translation), which defines the protein shape, which defines protein behaviour, which defines cell behaviour. Bear in mind that each cell produces many thousands of different kinds of proteins (including proteins for deciding which proteins to make!) which all work together to make the cell function as a whole.