This depends on which Montserrat you are visiting! If you mean the Montserrat Mountain in Spain (near Barcelona), then yes, it gets quite cold, especially in winter. Because it sits at an elevation of about 4,000 feet, temperatures can drop to 4°C (39°F) or lower in January, and the mountain is frequently shrouded in a damp, chilly fog that makes it feel even colder. Snow is rare but possible. If you are visiting the island of Montserrat in the Caribbean, then no, it does not get cold in the traditional sense. It has a tropical climate where temperatures rarely drop below 23°C (73°F), even at night. On the island, "cold" is considered anything under 25°C. For the Spanish monastery, you will need a heavy coat and scarf in the winter; for the Caribbean island, a light sweater is only necessary if the trade winds are particularly strong or for the air-conditioned interiors of planes and hotels.