Here are some design notes when it comes to modern pergola designs. The most common pergola design is to have decorative and somewhat rounded ends on the beam. The easiest way of creating a more modern pergola is to do away with the decorative ends.
Love this high ceiling/outdoor layout. Almost exactly what I am trying to achieve. Master bedroom on the left, kitchen and living looking straight in, outdoor BBQ area to the right with the privacy screen along that wall.