Add code to functions.php in your theme

Woocommerce bookings availability plugin shows the current date in the calendar by default even if there is no availability. This snippet added to a site specific plugin(preferably) or to your theme’s functions.php file will cause the first month with available dates instead of today.

add_filter( 'wc_bookings_calendar_default_to_current_date', 'twac_wc_bookings_calendar_default_to_current_date', 99 );
function twac_wc_bookings_calendar_default_to_current_date(){ return false; }