The original definition of the while block in algpseudocode.sty is
\algdef{SE}[WHILE]{While}{EndWhile}[1]{\algorithmicwhile\ #1\ \algorithmicdo}%
{\algorithmicend\ \algorithmicwhile}%
you can then replace \algorithmicwhile with \algorithmicuntil, and \algorithmicdo with \algorithmicrepeat; a complete example:
\documentclass{article}
\usepackage{algorithm}
\usepackage{algpseudocode}
\algdef{SE}[WHILE]{While}{EndWhile}[1]{\algorithmicuntil\ #1\ \algorithmicrepeat}{\algorithmicend\ \algorithmicwhile}%
\begin{document}
\begin{algorithm*}
\caption{bar baz}
\label{alg:interesting}
\begin{algorithmic}[1]
\While{foo bar}
\EndWhile
\end{algorithmic}
\end{algorithm*}
\end{document}

I only replaced the first occurrence of \algorithmicwhile as requested in the question; perhaps it would be better to change both.
Perhaps, as egreg has suggested in a comment, a better option would be to define a new Until block; here's how this could be done:
\documentclass{article}
\usepackage{algorithm}
\usepackage{algpseudocode}
\algdef{SE}[UNTIL]{Until}{EndUntil}[1]{\algorithmicuntil\ #1\ \algorithmicrepeat}{\algorithmicend\ \algorithmicuntil}%
\begin{document}
\begin{algorithm*}
\caption{bar baz}
\label{alg:interesting}
\begin{algorithmic}[1]
\Until{foo bar}
\EndUntil
\end{algorithmic}
\end{algorithm*}
\end{document}
