What exactly is neo-Druidism?

What are some of their beliefs?

It's a fancy name for Church of Exiles - or, in other words, a religion that only EM-ish, suicidal, angst-ridden teens join.

You can look up Druidism and read about it. The "Noe" part is just meaning that there is no way to say they are actually following the ancient ways of the religion exactly because there is no way to make such a statement.

Modern Druid groups around the world are a very varied bunch. Some strive to maintain a strong continuity of belief and practice with the original Druids, whilst others engage in practices that are as much inspired by concepts from Hinduism, Wicca, Buddhism, Christianity etc as they are by any Insular Celtic ideas. For some people the term Druid is used more to convey a suggestion of "nature priest(Essa)" than it is to imply a specific link to ancient practice.

Druids work to build harmonious relationships with deities, ancestors, spirits of the land, animals, trees, rocks, rivers and humanity, both through ritual activity and through their everyday actions. Some modern Druids perceive these spirit beings as real, whilst others regard them as more metaphorical or archetypal.