I think Ivan is right - it's probably 'getaway'. A weekend getaway is a holiday break for a weekend.

"Getaway" is a compound word: "get" + "away." To escape is to "get away." "A getaway" is a place you can go as an escape, or the escape itself. A "weekend getaway" is a weekend vacation. The use of the word "getaway" suggests that the main goal is not the destination itself. The goal is to just be away from home. One cold, dark winter day my wife and I went to a nearby hotel just because had a heated swimming pool. We just wanted a break in the routine: a getaway. A common use of "getaway" is in connection with a bank robbery. The robber "makes his getaway." The robber "has a getaway car." I'm assuming "gateway" is a typo. It is a real word, though. It's an anagram of "getaway" (same letters, different order). "Gateway" is a compound word, "gate" + "way." It means an entrance, an opening, a "way" through a wall or barrier. It may or may not have a "gate" across it. It's often used figuratively. During the period in the 1800s when people in the United States were traveling west to settle the western areas, many of the most-used routes went through the city of St. Louis, so it was called the "Gateway to the West." You had to go through it to get to the West. ("Weekend gateway" doesn't make sense.)