1.3 HDMI to 2.0b GPU's port?
yes
How many Hertz supports this HDMI 1.3 cable?
That answer depends on the resolution you use/select.
4k = 30Hz
1440 = 60Hz
1080 = 120Hz
"And is it worth to buy 2.0b cable while i have 1.3 cable"
No, because your cable is more capable than your monitor.
And for the other people that answered, perhaps you should do more reading...
"HDMI 1.3 defines two cable categories: Category 1-certified cables, which have been tested at 74.5 MHz (which would include resolutions such as 720p60 and 1080i60), and Category 2-certified cables, which have been tested at 340 MHz (which would include resolutions such as 1080p60 and 2160p30)."
"As of the HDMI 1.4 specification, the following cable types are defined for HDMI...