I can remove the top bar but not only in the first page. Code
\documentclass{article}
\usepackage{lipsum}
\usepackage{graphicx}
\usepackage{fancyhdr}% http://ctan.org/pkg/fancyhdr
%http://tex.stackexchange.com/q/30228/13173
\newsavebox{\myheadbox}% Heading storage box
\pagestyle{fancy}
\rhead{\textsc{School}
\cfoot{\thepage}
\begin{document}
\lipsum
\lipsum
\end{document}
Output: top bar visible in the first page.
TeXLive: 2016
OS: Debian 8.5 64 bit
\thispagestyle{empty}? – brian-ammon Oct 03 '16 at 17:23