I don't know what it is, but most fungi do nothing but good in a garden. They break down organic matter in the soil into simpler compounds which our plants can take up. A fungus is a bit like an iceberg - most of it is below ground. A meshwork of fine threads, called mycelium, spreads through the soil; this is the fungus' "body", as it were. The visible bits are the fruiting bodies, like flowers on green plants, they are the reproductive apparatus. They rarely persist more than a few days and quickly break down and disappear into the soil. If the look of them offends you, there's no reason why you shouldn't gather them up and put them in your compost heap/bin if you have one; if not, just bin them.
Yes it's really strange how people react to seeing fungi. OOoer, the dreaded lurgi. Then how. How about Sunday breakfast. Slice of fried bread. Four rashers of smoked back bacon. Some mushrooms.....(fungi) tomatos and a couple of free range eggs.
This fungi is unlikely to be doing any harm but it isn't the prettiest so if you don't like it just remove the fruiting bodies at the surface. Every year part of my lawn under a birch tree is taken over by Fly Agaric which look stunning and I just let them be. I have kids, but given that button mushrooms are the evils food there is no way wild fungi would ever be touched or eaten.
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Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.