It can vary between neighborhoods here, as this is an immigrant rich town, at least in the locally owned "mom and pop" kind of places.
In the national chain type places "coffee" is drip coffee served black with creamers and sugars provided for you to add according to your own taste.
There are, however, a large number of "Coffee Counters", which are small places that really consist of nothing more than a counter and enough space in the back to brew Cuban Coffees, a press to toast Cuban bread and display a few pre-made Cuban/South American type pastries. A "Coffee" there, would likely be a Cafe Colada, which is similar to espresso, but brewed slightly differently. Also, as coffee drinking in the Cuban tradition is very much a social event, a Colada is served in a rather large cup and the customer is provided with "shot cups" with which to share. If you want just a single shot, you really need to ask for a Cafe Cubano, or cafecito. Since these coffees are very sweet and very strong, many people prefer cafe con leches instead. This drink is most similar to a latte, except made with Cuban style espresso instead of the traditional European style.
If you're a serious caffeine addict like myself, you order a colada, ditch the shot cups, and drink the whole dang thing yourself.