How do I include a \section*{} in a \tableofcontents?

Use \addcontentsline to add the section* to the TOC:

Code:

\documentclass{article}
\begin{document}
\tableofcontents
\section*{About this Article}
\addcontentsline{toc}{section}{About this Article}

\section*{About this Author} 
\addcontentsline{toc}{section}{About this Author}

\section{First Step}
\section{Second Step}
\end{document}