I would read the information in the link below first:
http://www.healthyhouseinstitute.com/a_839-Water_Bed_Odors
I wouldn't. Swimming pool chemicals may be too strong and eat through the rubber bladder causing you to spring a leak in your bed.
Yes Otherwise you get fungus forming in the water.You can remove the air pockets..
for more see here:
http://www.aurorapoolsandspas.com/products/1/5/Pool_Chemicals.html