The video card will need output(s) that match at least one input on your monitor.
Even though your monitor is not HD, you need a card that can support the number of pixels on your monitor,
as you can't output fractions of pixels!
How are you running the PC at the moment without a video card?
It may well not suit your motherboard - but I'm using a NVIDIA GeForce 210 (PCI Express 2.0, 1GB, HDMI, DVI-I, VGA) current cost = £22-66GBP from Amazon.
You can install dmidecode, which tells you huge amounts about your machine...
For example (on my ancient PC)...
jeremy@hector:~$ sudo dmidecode
[sudo] password for jeremy:
The last entry gives the name of your motherboard.
# dmidecode 2.12
SMBIOS 2.3 present.
77 structures occupying 2266 bytes.
Table at 0x000F0000.
Handle 0x0000, DMI type 0, 20 bytes
Vendor: Phoenix Technologies, LTD
Version: ASUS A8N-SLI SE ACPI BIOS Revision 0502
Release Date: 03/09/2006
Runtime Size: 128 kB
ROM Size: 512 kB
PCI is supported
PNP is supported
APM is supported
BIOS is upgradeable
BIOS shadowing is allowed
Boot from CD is supported
Selectable boot is supported
BIOS ROM is socketed
EDD is supported
5.25"/360 kB floppy services are supported (int 13h)
5.25"/1.2 MB floppy services are supported (int 13h)
3.5"/720 kB floppy services are supported (int 13h)
3.5"/2.88 MB floppy services are supported (int 13h)
Print screen service is supported (int 5h)
8042 keyboard services are supported (int 9h)
Serial services are supported (int 14h)
Printer services are supported (int 17h)
CGA/mono video services are supported (int 10h)
ACPI is supported
USB legacy is supported
LS-120 boot is supported
ATAPI Zip drive boot is supported
BIOS boot specification is supported
Handle 0x0001, DMI type 1, 25 bytes
Manufacturer: System manufacturer
Product Name: System Product Name
Version: System Version
Serial Number: System Serial Number
Wake-up Type: Power Switch
Handle 0x0002, DMI type 2, 8 bytes
Base Board Information
Manufacturer: ASUSTeK Computer INC.
Product Name: A8N-SLI SE
Serial Number: 123456789000