Study the Rule of Thirds and apply it when taking photo's. I'm assuming your new camera is digital so allow it to function on Auto mode and it should save you from over/under exposing any photo's. Use the flash indoors - especially if you have flourescent lights. Of course, some of the newer camera's can compensate for the yellowing of the light.
Don't be afraid to do some zooming in and taking some tight photo's. Also, move freely around the room and get as many pictures as possible. If it is a digital, set the pixel setting at a high level so you get some deep saturated color which will allow you to blow the photo's up to larger size without pixielization.
Since you'll be using a higher pixel setting, ensure you have plenty of gigabytes available to take lots of pictures. A couple of 16 gb cards and a laptop should be good. If you fill one card, insert the new card quickly and continue shooting. Have your assistant (spouse or friend) download the photo's onto the laptop while you are still shooting. Make sure they "cut" the photo's onto the laptop vice "copying" them.
Take plenty of pictures of your family as practice. Practice zooming, doing full length shots, adjust the flash, etc. If the wedding is outside, go to that location days ahead of time and practice with the lighting. Do the same for the inside if possible. Also, scout out an area to take some semi-formal photo's. If outside, find a nice contrasting place (side of building if suitable, greenery, etc) to take the photo's. Do the same if it's inside. Sometime's it's best to take the formal pictures BEFORE the wedding because afterwards you have dances, presents, reception line, etc.
Also, make sure you have plenty of batteries for the camera and make sure they are charged and ready to go. If they are rechargable, they usually have to be fully drained prior to charging to get the best charge. It wouldn't hurt to have backup batteries to your backup batteries.
When taking the formal shots, don't be afraid to pose them. Fix the hair, move the hands, straighten the dress, move the veil, etc. Take extra shots just in case. For the dances, make sure you get ALL the shots, e.g. 1) new husband and wife, 2) father and daughter, 3) son and mother, 4) the in-laws, 5) etc. Lastly, don't forget the garter pictures and the tossing of the flowers to the maids.
Make sure you shoot plenty of pics of the first dance, opening presents, the guests yakking, etc. Have your assistant/spouse use another camera to walk around and get extra candids.
I'm sure I'm forgetting some.......