This is an enjoyable series that is informative for an audience fresh to art theory. But there are some caveats. Firstly, its contention that the "images in people's minds" led to the development of agriculture, and therefore the modern world, is philosophical idealism of the sort that got shelved in the 19th century.
Secondly, it loves to builds up to absurd dramatic climaxes, wasting a great deal of time in the process. As another reviewer has pointed out, Nigel Spivey puts one rhetorical question after another, leaving the poor viewer begging for him to get on with it. A great chunk of programme five is dedicated to a huge build-up to the 'great storytelling secret' of the Aborigines, only to reveal that they combined stories with music. Oh.
Thirdly it makes a number of unfounded assertions, such as, "it was Augustus's use of images that enabled him to maintain his power". Actually no - his political actions did that. The images are another expression of it, but images just don't have that sort of power. Idealism again! Images rarely, if ever, change history, although they may seem to by reflecting the social forces that actually change things.
Still, you'll enjoy it so long as you keep a critical mind.