It depends on how your ISP operates and you have a fixed IP address or not.
A fixed IP address is pretty rare these days - unless you are willing to pay for it. Assuming you don't have a fixed IP address, it would probably take a court order to get your ISP to provide the details of who had the first public IP address in the chain at the time a website was accessed - since ISPs reuse the addresses. Even then, all that reveals is who the subscriber is. Assuming you have a router, it would not identify who was actually connected at the time.
See the section on 'Private Addresses' here
https://en.wikipedia.org/wiki/IP_address
If you have Windows, you can run traceroute from a command prompt to see what the info would look like, eg:
tracert
www.intel.com