If is 128 bit, then it is Fermi based. It will still use the "730" driver, since it's an official "fake", but performance-wise is not different than the 440.
Not sure of future support between those two, probably the 730 will be supported longer, including the Fermi variant.
Not that it matters too much for those cards.
Being free, I would ask for it and try it.
Below is the link nVidia has for that card, with the three variants, including the power:
The GT730 comes in two flavors. One with GF108 chip (same as in some GT440, older Fermi, 96 cores, 128bit DDR3 memory, 268GFlops SP), and with Kepler chip GK208 (384 cores, 693GFlops SP, but also two variants of memory - 64bit DDR3 or 64 bit DDR5).
GT440 came also with GF106, 144 cores, 342GFlops SP.
Therefore I would consider only the GT730 with DDR5 as an "upgrade". Maybe the DDR3, if is the 64 bit (Kepler), not the 128 bit (Fermi).
If is 128 bit, then it is Fermi based. It will still use the "730" driver, since it's an official "fake", but performance-wise is not different than the 440.
Not sure of future support between those two, probably the 730 will be supported longer, including the Fermi variant.
Not that it matters too much for those cards.
Being free, I would ask for it and try it.
Below is the link nVidia has for that card, with the three variants, including the power: