Url path and ip
When you access a url, first a DNS lookup will be done on the host part (www.google.com), after that the browser will look at the protocol and connect using that (https in this case).
After connecting, the browser will tell the server:
"Hi! I'm trying to connect to www.google.com and I would like the resource /images/srpr/logo11w.png). This looks like this on the protocol:
GET /images/srpr/logo11w.png HTTP/1.1
Host: www.google.com
The Host part is a HTTP header. There are usually more headers.
So the short answer is:
The server will get access to both the hostname, and the full path the browser tried to access.