No, they do not. And the cake is the bride's and the groom's; it doesn't belong to the groom alone.
A cheese cake.
It's for during the wedding reception to celebrate the bride and groom on their wedding day.
* At the wedding reception after the meal is served and approximately one hour after, the wedding cake will be cut by the bride and groom. The bride holds the knife and the groom's hand goes over hers and they make a small slice to feed each other a piece of the wedding cake before serving to their guest. Sometimes the bride and groom will have a little fun and push the cake all over the outside of each others mouths. Then the caterers came and cut the cake and either the bride and groom can serve the wedding cake or the caterers will do it if requested before the reception.
the bride and groom on top
You need to ask the bride and groom about what they want.
It's when the bride and groom share their dessert together.
It's for the bride and groom to eat themselves.
Often they do, or they toast immediately after cutting the cake.
Possibly. If that's the case, they take it with them on their honeymoon.
The wedding cake is the cake eaten and presented at the ceremony / reception after the wedding has taken place. It is symbolically cut by the newly wed bride and groom, and then eaten. Tradtionally, the wedding cake is large (enough to feed all the guests at the wedding), and white or off-white in color. A groom's cake can be 2 things. It can be a smaller, more "fun" or "exciting" cake that is also eaten during the reception. Or, it can be a cake that is used at a party for the groom, like a bachelor party or something of the sort.
Traditionally, the groom pays for the engagement ring and the wedding ring of the bride and the bride pays for the wedding ring of the groom. However, it is also very common in these days that the groom only pays for the engagement ring and the couples buy their wedding rings together as they share the wedding expenses.