How do I know if a graphics card is sufficient for a given external monitor? (Time-sensitive) [This is time-sensitive because the deal I want to get closes soon. Any helpful ideas re: the below would be greatly appreciated]

I have mid-2012 MBP 13in and I run it at home connected to an Acer 24 inch monitor which has been great for the past couple years. 

Basically, I have an opportunity to get a highly discounted HP Pavilion 32inch QHD Wide-Viewing Angle Display Monitor. Has DisplayPort and 2 HDMI connects, and a 2560x1440 resolution. 

I read some Amazon reviews and many of them mentioned making sure that your video card can support the resolution the monitor requires. My video card is the Intel HD Graphics 4000 that came with the computer. 

Will I run into problems with this potential purchase and, if so, what sort of problem(s) and how much would they perhaps cost me to remedy? Thanks!
According to EveryMac.com, the mid-2012 MacBook Pro can support an external monitor with a resolution of 2560x1600.

This means that your Intel HD Graphics 4000 chip is capable of supporting your monitor.  However, you should be aware that the HD 4000 uses shared memory (meaning it takes up to 1.5GB of RAM from the system).  

Personally, I would upgrade your memory to the maximum amount and again, according to EveryMac.com, you can upgrade it to 16GB of PC3-12800 SO-DIMM Memory.  This will ensure that your integrated graphics chip and the system has enough memory to deliver the best graphics performance it possibly can.

Also, regarding the monitor connection, I would avoid converting DisplayPort to HDMI and just stick with DisplayPort (go mDP to DP).