You can only guarantee 1920*1080 or 1920*1200 resolution from an HDMI port unless the manufacturer states that it's version 1.3 or 1.4 - I haven't been able to find what version of HDMI out the Pavilion in your signature has. Higher resolutions require that all HDMI components be version 1.3+ compatible - including the HDMI output, the HDMI cable and the monitor/TV receiving the signal.
If you're only planning on a 1920*1080 or 1920*1200 monitor, you should have no problem. If you're wanting a 2560*1440 monitor though, I'd definitely try to test it with a certified HDMI 1.3/1.4 cable and a monitor with a 1.3/1.4 input before purchasing.
i5-4670k @ 4.4ghz | Gigabyte Z97X-UD5H-BK | nVidia GTX1080 | 32gb DDR3| 4x SSDs 1x HDD | Antec Solo II | Dell U2713HM