If by "seeing" you are talking about the capacity to visualize higher dimensional spaces. Because poor three dimensional creatures like ourselves live in a world of three dimensions of space and cannot observe anything with more spatial dimensions. Considering time as a fourth dimension can be neglected for this exercise.
if it is possible, and this is by no means certain, to modify to order parts of the brain, then it is possible to genetically reorganize the visual cortex this might be adapted for the visualization of higher order spaces. In which case, it may be possible that people with modified visual cortices will be able to visualize 4d, 5d, 6d and 7d and possibly even higher dimensional spaces.
If so, this make geometry a much easier branch of mathematics for them. Mathematicians can dealt with higher order spaces including infinite dimensional spaces in their equations as abstract qualities. Whether there is any empirical evidence that the capacity to visualize spaces leads to improved geometers is an open question.
In theory, if we understood how the visual cortex worked, and knew how to modify it by genetic engineering to order, then creating people with higher dimensional visualization should be possible. But whether this will make better at geometry remains an open question.
As point of clarification, this answer discusses genetic modification to the structure and function of the visual cortex. This should not be taken as an improvement in the actual perception of the spatial dimensions in which humans exist. Everything in their environment would be seen as spatially three dimensional. The improved visual cortex was always intended, in this answer, to be the platform with which people could be able to visualize, that is to say, through an act of imagination to conceptualize higher dimensional spaces.
Thank you to @L.Dutch for his perceptive comment.