I have a diamond with a 60% table and it is a beautiful stone, but it isn''t an ideal cut. As long as it is coming in, take a look. I think looking at as many diamonds as you can is a good thing.
A common make of round brilliants is '60/60,' meaning depth and table both near 60%. They often have slightly deeper pavilions and shallower crowns than the diamonds discussed on PS, which are called 'near-Tolkowksy' (smaller tables and crown/pavilion angles close to 34.5/40.75).
Classic 60/60s that are well-cut have a big, bright, appealing look. That depends on its overall configurations. Your eyes will tell you a lot more about it than we can (be sure you see it in several different lighting conditions). If you want to know more about its make from a technical standpoint, jot down the measurements and list them here...but you'll be able to best judge its personality when you meet it for yourself.
I personally prefer a table size in the 54-57 range, but as long as there is good light performance this boils down to preference. I like some fire versus a super white/bright diamond. A 60% table will face up pretty large compared to a diamond with the same carat weight and other similar parameters.
In my experience, check it with the sunlight behind you, in front, in bright sun where the diamond turns blackish in the light ( inclusions jump out well in that lighting I find), and normal daylight, this should give you an idea of how it will look in most circumstances. Normally any diamond will look good in candlelight and or halogen / jeweller type lighting. You want to check it in as many different settings as possible that you will wear it in. A 60 60 can be a nice choice of diamond if all else matches up. Did she give you the colour, clarity and grading report info?