In a Condo you get billed separately. You get a monthly Common charge for the upkeep of the common areas, doormen, etc. Your Taxes will be billed to you separate from the Common charges. These taxes are also deductable.
In essence, they are not too dissimilar. The concept of Coop and Condo are different as a Coop is the purchase of shares in the Coop corporation and you get a proprietary lease to allow for occupancy. A Condo is considered "real property" much like a House. You get a Deed to the property. A Condo of similar size to a Coop will be more expensive and may be in excess of $100K plus. As such, a Coop may be the best first time purchase option as many people are looking to save where they can. Good Luck with whatever you decide.