I heard it while on hold calling my local GP. Very familiar sounding. I tried to Shazam it but didn't work.
This is the famous "Celebrated" Minuet, by classical composer Luigi Boccherini, frequently used in movies and on television as a signifier of elegance, class and refinement. For Suzuki-trained violinists, this piece is the graduation requirement for the second repertory book.
The String Quintet in E major, Op. 11, No. 5 (G 275), by Luigi Boccherini was written in 1771 and published in 1775. Being one of his most famous works, the quintet is famous for its minuet third movement (often referred to as "The Celebrated Minuet") which is most-often played as a standalone piece outside of the context of the full quintet
It also features has a startlingly funky --for classical strings! --syncopated bridge section around 1:59.