\documentclass[11pt]{article}
\usepackage[nonumberlist]{glossaries} 
 \setglossarypreamble{Glossaries to follow here-}
 \makeglossaries
\usepackage{hyperref} 


\newglossaryentry{cbr}{name = {Central Board}, description = {refers
    to the Central Board of the central government}}

\newglossaryentry{cg}{name = {Central Government}, description =
  {refers to the Government of India}}

\begin{document}


\section{The present output} 

Need to use the words in a system: \gls{cbr} and \gls{cg} 
\begin{enumerate}
\item \printglossaries
\end{enumerate}


\section{The required output}

Need to use the words in a system: \gls{cbr} and \gls{cg}
\begin{enumerate}
\item Glossaries follow here--
  \begin{enumerate}
  \item Central Board refers to the Central Board of the government;
  \item Central Government refers to the Government of India
  \end{enumerate}
\end{enumerate}

\end{document}

