\documentclass{article}

\usepackage[acronym]{glossaries}
\makeglossaries

\newglossaryentry{cd}{
name={CD},
description={compact disc}
}

\newglossaryentry{CD}{type=\acronymtype,
name={CD},
description={compact disc},
first={compact disc (CD)},
see=[Glossary:]{cd}
}

\newglossaryentry{DVD}{type=\acronymtype,
name={DVD},
description={digital versatile disc},
first={digital versatile disc DVD}
}

\begin{document}
\noindent


First use \gls{DVD}\    subsequent \gls{DVD}

\printglossary
\printglossary[type=\acronymtype]

\end{document}