How is it cooled? It doesn't appear to have a fan, but I can't tell for sure.

It does not have a fan. Therefore it would normally just be cooled by the cabinet fans. I have purchased seral of these, but better units are available with cooling fans. This is and older design I only purchase as replacement parts, not upgrades.

What kind of inputs are on this card? hdmi?

The bulleted list says it has 2 diplay ports. These would be outputs, of course.

Questions & Answers: Refurbished: NVIDIA Quadro NVS 295 256MB GDDR3 PCIe x16 Dual DP Graphics Card

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NVIDIA Quadro NVS 295 256MB GDDR3 PCIe x16 Dual DP Graphics Card

Form factor: Single slot, low profile
Memory: 256MB GDDR3
Memory interface: 64-bit
Memory bandwidth (GB/sec): 11.2
Bus type: PCIe 2.0 x16
Connectors: 2x DisplayPort
Display support: 2

$32^.99 –