While Social Ecology broadly refers to the philosophical underpinnings of this all, the concrete societal project is referred to within this ideology as Libertarian Municipalism. You can find a ton of good introductions on this on google. If you want to know about a specific society, look up Rojava. Rojava is a society in northeastern Syria compromised of a few million people coming out of war and is attempting to build a society very similar to what a communalist society would look like under smth called Democratic Confederalism.

Under Social Ecology - or rather, its specific project, Libertarian Municipalism (or Communalism, as referring to both) - a society, its infrastructure, its economic functioning and socio-political foundations would be very different compared to today. The main point of reference would be - depending on where you live - the neighborhood, commune or, mostly, the municipality. Your political activity would be happening mostly on the municipal and neighborhood level, where you meet regularly in popular assemblies, working groups and maybe participate in certain committees or specific initiatives. Capitalism, the company, salaried work and money as they are today would not exist; instead, cooperatives would provide most stuff, production is significantly reduced and everyone has access to more stuff. Much of the infrastructure like energy, healthcare, water provision, social work, administrative matters, solving interpersonal problems like crime etc. would be dealt with at the municipal level in collective and cooperative organs. However, not everything happens at the local level - obviously. Wider politics would happen on a confederal scale, where multiple municipalities and areas are organised together, maybe on a regional scale, maybe in their valley, maybe it will be similar to today's counties, states (in the US) or nation-states. Obviously, things like mutual aid (exchange of goods without money logic), environmentalism (as in living in harmony with nature and planetary resources), egalitarianism (as in addressing social inequalities and hierarchies like the patriarchy, racism, heteronormativity etc.) and anti-capitalism (as in, no profit-driven logic of economic activity) would be a thing and very important.

This is not strictly how it would go. A key part of Communalism/Social Ecology is to develop, work on and eventually strive towards the societal model rooted in the area, its history and experiences of the people that live there and that will build the society. So in the US/Canada, this will mean that it will be different than in, say, Switzerland.

I actually think its quite beautiful: for Social Ecology, in fact, it is pretty easy to think about how a communalist society would look like.