First of all I'm assuming that you're using a SOHO router inexpensive one's / home routers. All home routers / SOHO routers don't support Ipv6 directly yet to my knowledge but they can configured but that's another topic.
If you are using windows OS , go to Command prompt -> type
ipconfig /all
In that you can find your Ipv6 address
Go to this website to check your Ipv6 address working or not
http://test-ipv6.com/
Look Ipv6 is address we used for connecting internet like Ipv4 .There is no extra features.The only difference is it's so long & complicated. Even ISP's don't bother. Only >10% of the world upgraded to the IPv6 address.
Hope I resolved your query.
Please do point out if any misinformation in this