There are 31 weirs and Paradise Dam on the Burnett River. BB is situated 25kms from Paradise Dam (by river) and 10km to the Wallaville Weir which holds back the water for the local citrus farms. The wide bend in the river also slows the current making it most suitable for swimming. Skinny dipping is fine - you are surrounded by farms and like-minded neighbors.
Feel free to feel free.
The river changes constantly. However, if there hasn't been much rain, you will be able to walk across the river where the sandy beach is - mostly shallow, with a few nice deep holes. You will get used to the lungfish and turtles - they are quite curious creatures. You may be lucky enough to spot a platypus, but bird life abounds - swans, pelicans, cormorants to name a few. Don't forget your floats/noodles and other swimming aids. You may want to wear shoes.