The number of glossaries is remembered in the reference numglossaries. Package zref is used here, because it provides \zref@wrapper@immediate. \label uses deferred writing at the next page shipout. At the end of the document there is no further page, therefore the writing must be done immediately.
The numbering itself depends on the glossary package you are using. Here as example I have patched \@wrglossary that writes the actual glossary entry into the .glo file.
\documentclass{article}
\usepackage{zref-base}
\makeatletter
\newcounter{numglossaries}
\newcommand*{\numglossaries}{%
\zref@extract{numglossaries}{default}%
\zref@refused{numglossaries}%
}
\newcommand*{\write@numglossaries}{%
\begingroup
\zref@setcurrent{default}{\the\value{numglossaries}}%
\zref@wrapper@immediate{%
\zref@labelbyprops{numglossaries}{default}%
}%
\endgroup
}
\AtEndDocument{\write@numglossaries}
% The counting depends on the package that is used for glossaries.
\@ifdefinable{org@wrglossary}{%
\let\org@wrglossary\@wrglossary
\renewcommand*{\@wrglossary}{%
\stepcounter{numglossaries}%
\org@wrglossary
}%
}
\makeatother
\makeglossary
\begin{document}
The number of glossaries is \numglossaries.
\glossary{A}
\glossary{B}
\glossary{C}
\end{document}

Extended version
Also other elements can be counted this way:
\documentclass{article}
\usepackage{zref-base}
\usepackage{etoolbox}
\makeatletter
\newcommand*{\numberelement}[1]{%
\newcounter{num#1}
\expandafter\newcommand\expandafter*\csname num#1\endcsname{%
\zref@extract{num#1}{default}%
\zref@refused{num#1}%
}%
\expandafter
\newcommand\expandafter*\csname write@num#1\endcsname{%
\begingroup
\zref@setcurrent{default}{\the\value{num#1}}%
\zref@wrapper@immediate{%
\zref@labelbyprops{num#1}{default}%
}%
\endgroup
}%
\expandafter\AtEndDocument\csname write@num#1\endcsname
}
\numberelement{glossaries}
\numberelement{figures}
\numberelement{tables}
\pretocmd\@wrglossary{\stepcounter{numglossaries}}{}{}
\pretocmd\figure{\stepcounter{numfigures}}{}{}
\pretocmd\table{\stepcounter{numtables}}{}{}
\makeatother
\iffalse
% The counting depends on the package that is used for glossaries.
\@ifdefinable{org@wrglossary}{%
\let\org@wrglossary\@wrglossary
\renewcommand*{\@wrglossary}{%
\stepcounter{numglossaries}%
\org@wrglossary
}%
}
\fi
\makeatother
\makeglossary
\begin{document}
\begin{table}
\centering
\begin{tabular}{ll}
Glossary entries: & \numglossaries\\
Figures: & \numfigures\\
Tables: & \numtables
\end{tabular}
\caption{Statistics}
\end{table}
\glossary{A}
\glossary{B}
\glossary{C}
\end{document}
