Yes you can smell ozone especially when the presence of ozone is strong.
Most people describe the smell of ozone as a smell that can be similar to burning wire.
Other people describe the smell of ozone smells like chlorine or the smell of ozone is a sweet or pungent smell.
Rain can sometimes cause your house to smell like ozone and using an air purifier can help get rid of the ozone smell in your house.
Another sure way to get rid of the ozone smell in the house is to open the windows for a few hours even in winter when possible.
Turn the heater or furnace off and allow the fresh air into the house which helps get rid of the ozone smell in the house.
I sometimes have to shut the furnace off in the winter and open most of my windows for a few hours while I'm out doing something else to get rid of the ozone smell.