Querying posts from only one category and exluding the latest post

Try this code

global $myOffset;
$myOffset = 1;
$paged = get_query_var('paged') ? get_query_var('paged') : 1; //Use 'page' instead of 'paged' if you are on home page

$args = array(
    'post_type' => 'post',
    'cat'=> 1,    //Selecting post category by ID to show
    'posts_per_page' => 4,  //No. of posts to show
    'offset' => $myOffset,  //Eexcluding latest post
    'paged' => $paged       //For pagination
);

$loop = new WP_Query( $args );

while ( $loop->have_posts() ) : $loop->the_post();
    the_content(__('Continue Reading'));             
endwhile;