They will have bodies, just like Jesus did when God raised him from the dead. He was not a spirit without a body. So, just like Jesus, those given everlasting life will have immortal bodies. The resurrection of the dead will take place when Jesus returns to establish God's Kingdom on earth. Their next waking moment will be the resurrection.
Time has no meaning in the grave.
The Bible hope of the resurrection was well expressed by Martha long ago. The Bible makes one thing clear from the beginning. God has given us the freedom either to choose His way or to reject it. Jesus confirms these teachings. Yes, that's right, absolutely nothing.