There is a Java tutorial to do this that is much simpler than most of the provided answers at https://docs.oracle.com/javase/tutorial/2d/text/drawmulstring.html

AttributedCharacterIterator paragraph = vanGogh.getIterator();
paragraphStart = paragraph.getBeginIndex();
paragraphEnd = paragraph.getEndIndex();
FontRenderContext frc = g2d.getFontRenderContext();
lineMeasurer = new LineBreakMeasurer(paragraph, frc);

// Set break width to width of Component.
float breakWidth = (float)getSize().width;
float drawPosY = 0;
// Set position to the index of the first
// character in the paragraph.
lineMeasurer.setPosition(paragraphStart);

// Get lines from until the entire paragraph
// has been displayed.
while (lineMeasurer.getPosition() < paragraphEnd) {

    TextLayout layout = lineMeasurer.nextLayout(breakWidth);

    // Compute pen x position. If the paragraph
    // is right-to-left we will align the
    // TextLayouts to the right edge of the panel.
    float drawPosX = layout.isLeftToRight()
        ? 0 : breakWidth - layout.getAdvance();

    // Move y-coordinate by the ascent of the
    // layout.
    drawPosY += layout.getAscent();

    // Draw the TextLayout at (drawPosX,drawPosY).
    layout.draw(g2d, drawPosX, drawPosY);

    // Move y-coordinate in preparation for next
    // layout.
    drawPosY += layout.getDescent() + layout.getLeading();
}