Done it three times. Only thing to watch - the time goes ahead one hour every night for several days in a row. Best thing to keep your internal clock running - get up at the same time every day. Otherwise by the time you hit the other side you will be getting up at noon and feel like it is still 6 in the morning.
You can find lots to do - lots of activities scheduled or sit by the pool or find a quiet place to read.
The first day out from Florida has always been the worst weatherwise - most of the crossing is warm, sunny and calm.