\documentclass[10pt,a4paper,sans]{moderncv}
\moderncvtheme{banking}
\usepackage[utf8]{inputenc}


\firstname{Paweł}
\lastname{Dybiec}
\extrainfo{Computer Science and Mathematics Student}
\email{pdybiec@stud.cs.uni.wroc.pl}


\begin{document}
\recipient{HR Department}{Corporation\\123 Pleasant Lane\\12345 City, State} % Letter recipient
\date{\today} 
\opening{Dear Sir or Madam,} % Opening greeting
\closing{Sincerely yours,} % Closing phrase
{\fancyfoot[r]{}            % No page/lastapage in the letter
\setcounter{page}{0}
}        % Change if letter is more than 1 page
\makelettertitle            % Print letter title
Lore ipum dolor             % Letter body
sit amet, consectetuer 
adiscipliging elit. 
Up purus ... 
\makeletterclosing          % Print letter signature
\pagebreak
\end{document}