If I understand your question, you ask: 1) does your computer resolve the name and then connects directly to the IP web server OR 2) does your computer send a request to your Internet provider and then it waits for the Internet provider to load the page for you?
In general, your computer connects directly to the web server.
You can also connect to an intermediate server that does everything for you - resolves the name, connects to the destination server, downloads the content, and then sends it back to your ocmputer. This intermediate computer is called an HTTP proxy .
So, if I understand your question, it depends on how your network is configured. The most common installation is 1) without a proxy.
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