Renters are not entitled to any of the member benefits/perks. Says so in our membership materials.
That said, your room key will probably say "
DVC Member" on it. You may be able to get some of the dining discounts (ask the server if the room key is good enough - some will ask for the Bue Membership card). You
may also be able to get the free valet parking at the DVC resorts that offer it (BCV, BWV & VWL), and you'll probably be able to pool hop (may not want to in December, though, LOL). AFAIK, your resort ID with "DVC Member" will suffice for those.
There are no major park admission discounts available to you. DVC members do get some small discounts on admission to the waterparks & PI - you may be able to get those. It would be up to the discretion of the CM at the resort. Can't think of any others you may get.
The best benefit is staying in the DVC accomodations for a discount over what you'd pay to rent from Disney directly.
Best wishes-