Without overcomplicating things, you can go ahead and assume that all the serotonin receptor subtypes have a 'similar' shape.
There is also an 'induced fit' like model, but for receptors. It says that a ligand will bind to a receptor and cause it to change its conformation into an active state.
We aren't really sure if the ligand makes the receptor change its shape, or if the receptor's shape has been changed before the ligand binds. To answer your question though, it doesn't matter if it's one or the other, or if it's somewhere in between. What matters is that different serotonin receptor subtypes are 'linked' or coupled to different types of 'machinery' which elicit different responses.