An engagement is a big time in someone’s life and people will often want to document it with photographs. An engagement photo shoot will usually consist of photos of the couple on their own, and it could be in any setting that is good for them. As a photographer, you should be able to bring some ideas to the table to help. Ask them about places that are special to them, where they got engaged, where they met, to find out where they may be able to have their shoot. If nowhere springs to mind, how about suggesting a beautiful local setting, like a park or a meadow?
You should be great at photographing people to undertake this type of work. People will want to capture moments between them, so direct them by asking them to look at each other, or laugh, or do something else natural that will create a lovely moment to catch on camera.