What is 60fps?
Frame rate is how many still images make up each second of video. It affects how motion feels, which is a different thing from how sharp the picture is.
Frame rate is not resolution
Resolution is how much detail each frame holds. Frame rate is how many frames arrive per second. A 1080p30 video and a 1080p60 video are equally sharp when nothing is moving; they differ the moment something does.
At 60fps, fast motion stays clear instead of blurring between frames. At 30fps, a quick camera pan smears.
When you will actually notice
Gameplay, sport and anything with rapid camera movement benefit clearly. Most viewers can see the difference immediately in those.
For an interview, a lecture or a talking-head video, the difference is close to invisible — the subject barely moves, so there is nothing for the extra frames to describe.
What it costs
Twice the frames means noticeably more data: a 60fps file commonly runs 30–50 percent larger than the 30fps version at the same resolution, not double, because encoders exploit the similarity between consecutive frames.
If storage or data matters more to you than motion smoothness, 30fps at a higher resolution is usually the better trade than 60fps at a lower one.