Fetching details from the dictionary...

side; edge; beside; besides; nearby
while (doing); in addition to; at the same time
彼女は窓の傍らに座って静かに本を読んでいた。
She sat by the window quietly reading a book.
仕事の傍ら趣味で絵を描いている人も少なくないよ。
Many people paint as a hobby while working.
仕事の傍らで趣味を楽しんでいる。
I enjoy hobbies on the side of my work.