Is there a difference between razors for men and those for women?

As you (may) know I sport a beard, so I don’t have much to shave.
Recently though I visited a barber for a beard trimming session.
He trimmed it and also shaved my neck/undercheek.
After that I decided to do that myself, the neck shaving, and I bought a disposable razor.
A dark blue one.
Now my girlfriend has a similar razor, dark blue too, and now I wondered the following:
Are they the same?
Are the blades different is one thinner than the other?
Does it ‘hurt’ if me or my girl accidentaly uses the other’s razor will my razoring with her blade make it blunt?