One way to do this is to modify the \multicolumn command to pick up the row colour on the fly. Row colours are kept in two macros:
\@oddrowcolor - for odd rows
\@evenrowcolor - for even rows
while the counter \rownum keeps track of the current row number. Here's a minimal working example showing the result of the modification, activated by the newly-created \mcinherit:

\documentclass{article}
\usepackage[table]{xcolor}% http://ctan.org/pkg/xcolor
\let\oldmc\multicolumn
\makeatletter
\newcommand{\mcinherit}{% Activate \multicolumn inheritance
\renewcommand{\multicolumn}[3]{%
\oldmc{##1}{##2}{\ifodd\rownum \@oddrowcolor\else\@evenrowcolor\fi ##3}%
}}
\makeatother
\begin{document}
\begin{table}[!ht]
\rowcolors{1}{gray!20}{white} \mcinherit
\begin{tabular}{|>{\bfseries}p{0.184\linewidth}|p{0.452\linewidth}*{4}{|c}|}\hline
Item & \multicolumn{5}{l|}{\textbf{Description}}\\ \hline
Goal & \multicolumn{5}{l|}{Goal of this}\\ \hline
Procedure & \multicolumn{5}{l|}{How to do it}\\ \hline
Specification & \multicolumn{5}{l|}{\cellcolor{green}Think of this and that while doing this} \\ \hline
Comments & & \bf{Pass} & \bf{Fail} & \bf{Pass} & \bf{Fail}\\ \cline{3-6}
& & $\circ$ & $\circ$ & $\circ$ & $\circ$\\ \hline
\end{tabular}
\end{table}
\end{document}
I took the liberty of modifying your column formatting as well. For example, with column 1 containing only boldface entries, this can be formatted with the column specification using >{\bfseries} - this inserts \bfseries before every entry (support provided by the array package).
Note that this redefinition of \multicolumn still allows you to change the cell colour to something else, since the third argument is inserted after the colour change. So, a local change will override the inherited colour. With a little work, it would be possible to automate the inheritance based on whether or not you use row colours. However, the extent of your usage is not known at the moment, so the switch* \mcinherit will suffice.
Finally, use \textbf instead of \bf. For more on this, see Will two-letter font style commands (\bf , \it , …) ever be resurrected in LaTeX?
* Note that the redefinition should be made local if you're intermixing some coloured and uncoloured tables. This is "automatic" if you're calling \mcinherit from within a table environment. Again, with some work the redefinition could be made more accommodating.