A cafe is a coffee shop, or a small restaurant where coffee is served. Your neighborhood cafe might be a good place to get a piece of pie and a cup of coffee.
You could stop by a cafe for lunch, or just grab a coffee and a muffin to go. You can also call a cafe a "coffeehouse" or "coffee shop," and while the word is similar to cafeteria — and the two share a root word — a cafeteria tends to be a buffet-style restaurant or dining hall. Cafe comes from the French café, which means both "coffee" and "coffeehouse."