- It is not entirely clear how should long table looks ...
- Also you not give any tip, about content of your table.
- Without coloring the first row, and columns types as you have in your
tabular
table:
\documentclass{article}
%--------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%
\usepackage{lipsum} % for dummy text
%---------------------------------------------------------------%
\usepackage{booktabs, longtable}
\begin{document}
\lipsum[1-4]
\begingroup
\setlength\LTleft{0pt}
\setlength\LTright{0pt}
\begin{longtable}{ @{\extracolsep{\fill}} ll @{} }
%
\caption{Parameter description}
\label{tab: ???} \\
\toprule
\textsc{Parameter} & \textsc{Description} \\
\midrule
\endfirsthead
\caption[]{Parameter description (continue)} \\
\toprule
\textsc{Parameter} & \textsc{Description} \\
\midrule
\endhead
\midrule
\multicolumn{2}{r}{\footnotesize\textit{Continued on the next page}}
\endfoot
\bottomrule
\endlastfoot
%
some text & some longer text \\
some long long
long text & some text \\
some text & some long long
long long text \\
long text & some text \\
some text & some long long
long long text \\
long text & some text \\
\end{longtable}
\endgroup
\lipsum[6-7]
\end{document}

But, as can be concluded from table caption, your table probably has narrower column with some variables in math mode and wider second column with description, i.e.: it can be something like this:

This can be obtain by use of the xltabular
package:
\documentclass{article}
%--------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%
\usepackage{lipsum} % for dummy text
%---------------------------------------------------------------%
\usepackage{booktabs, xltabular}
\begin{document}
\lipsum[1-4]
\noindent%
\begin{xltabular}{\linewidth}{ @{} >{$}l<{$} X @{} }
%
\caption{Parameter description}
\label{tab: ???} \\
\toprule
\textsc{Parameter} & \textsc{Description} \\
\midrule
\endfirsthead
\caption[]{Parameter description (continue)} \\
\toprule
\textsc{Parameter} & \textsc{Description} \\
\midrule
\endhead
\midrule
\multicolumn{2}{r}{\footnotesize\textit{Continued on the next page}}
\endfoot
\bottomrule
\endlastfoot
%
x & some longer text \\
y & some text \\
z & \lipsum[66] \\
\alpha & some text \\
\beta & some long teyt \\
\gamma & some text \\
\end{xltabular}
\lipsum[6-7]
\end{document}
Addendum:
Shorter code, which also enable simple coloring of the first row in table, you cam make by use of the tabularray
package (in MWE below is used version 2022C):
\documentclass{article}
%--------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%
\usepackage{lipsum} % for dummy text
%---------------------------------------------------------------%
\usepackage{colortbl}
\usepackage{tabularray}
\UseTblrLibrary{booktabs}
\begin{document}
\lipsum[1-4]
\noindent%
\begin{longtblr}[
caption = {Parameter description},
label = {tab: ???},
]{colspec = { @{} Q[l, mode=math] X[l] @{} },
row{1} = {font=\scshape, mode=text, bg=blue!30},
rowhead = 1
}
\toprule
Parameter & Description \\
\midrule
x & some longer text \\
y & some text \\
z & \lipsum[66] \\
\alpha & some text \\
\beta & some long teyt \\
\gamma & some text \\
\bottomrule
\end{longtblr}
\lipsum[6-7]
\end{document}

(red lines in above images indicate page layout)
! LaTeX Error: File `table.sty' not found.
unless you are asking about that error, you should change the example.