Hi EGKK931,
You're right. The sidestick replaces the control column and, due to the fly-by-wire systems and flight control philosophy found on Airbuses, works in a slightly different way. If you're interested in the details, I've seen quite a few threads on Proon about the differences - a search will bring them up.
One point to note is that Airbus aircraft have 'hard' flight envelope protection which prevents the pilot from, for example, stalling, over-banking, and overstressing the aircraft. At least in normal operation anyway...
Best regards,
V1R