The phrase "brick sidewalks" refers to pathways made of bricks. It means that the sidewalks are constructed using bricks as building materials instead of other materials like concrete or asphalt. Full definition
Alexandria is a historic city with brick sidewalks, cobblestone streets, colorful row homes and more. (verybusymamablog.com)
I wish this had occurred to me in college, when I was one of many girls in high heels stumbling over the crumbling brick sidewalks on the way to the bars. (xojane.com)
Quincy is home to historic buildings, a beautiful marina, Victorian — era homes, and brick sidewalks built in the seventeenth and eighteenth century. (altmanllp.com)