Massive amounts. In the US, see Texas and how their energy grid has been under massive strain since new data centers are popping up there. It also uses a massive amount of water and natural resources. Global this happens, it's one of the more obvious ways of direct impact our resources and energy

For an example: Watching a DVD locally has an immediate energy use, and that use is monitored and then sold to data brokers by the energy companies (at least in the US). Pretty much end of story.

Now the same movie being watched on a big streaming service, they use AI to process and suggest the movie, catalog and analyze every other user data to build their algorithm and AI better, and then usually sell that data to data brokers who then sell to other data brokers... Not to mention the servers needed to route the traffic to the correct computers and all of the computers in between. And that's just considering a private use of a streaming service directly without a smartTV and an ISP that isn't also selling their browsing habits...

Which all require energy, water and precious metals, few if any are "green" or cleanly extracted