The internet layer of the TCP/IP network stack is where the packets are routed between hosts. It operates between devices that have their own logical (IP) addresses, such as computers, routers, modems, or network bridges. It is the layer where the packet finds its way from the sender to the destination. Its most common protocols are IPv4, IPv6, and ICMP.
It's been a few years since my networking course, but I believe it refers to DNS it refers to stuff like IP addresses. DNS is related to the Internet layer, but it's not correct to call it the Internet layer
This meme is kind of wrong though, because it's mixing the OSI model with the TCP/IP model, which are different representations of the same thing, but in either model the "link layer", ie layer 2 switching would never hand over to the "internet" layer without going through network first. So if you're confused, it's because it's wrong.