Can I control a Keysight 4284A/E4980A using my B1500A to make CV measurements and display the results in the EasyEXPERT data display window?

Yes. The EasyEXPERT application library has the "CVSweep4284_a" under the “Utility” category of application tests. Learn more about Keysight EasyEXPERT/Desktop EasyEXPERT Device Characterization Software.