Ragdoll Cat - is all of this normal?

Our gorgeous ragdoll female has just had her 1st birthday. She is not at all docile when she is awake in fact she runs up and down the hallway skidding and doing leaps up the wall when she plays. She will fetch items we throw. When she sleeps it's usually on her back with legs spread out. She won't sit on our lap and doesn't like to be held much, but does stay close by and sleeps at the end of our bed. She also follows me from room to room. She loves getting into the shower after we have used it and rolls around in the water. I'm wondering if she will become a lap cat as she gets older as I really thought ragdolls would be lap cats.