If I am pregnant and my spouse has epilepsy, does that mean the child will have it too?

Variable issue. There are some genetic implications with the various forms of epilepsy but these vary with the type. These can run as high as a 50% inheritance risk in some forms. A visit with a geneticist in your local could help you define the collective risks derived from either side of the family.
It's NOT genetic. Most epileptics are due to some trauma to the brain, ie a high fever episode, accident, lack of oxygen to the brain, medications or others. Only genetic component only if associated with a syndrome.
No. While your child may have a slight increase rate of epilepsy compared to another child with no family history of the disease, it is absolutely certainly not a sure thing.