The Categories[Get] command returns the category name associated with the menu entry entry.

MyContextModule := StandardContext:-Copy();

with(MyContextModule);

Check, re-set then check the category associated with the entry "Language Conversions".

Categories[Get]("Language Conversions");

Categories[Set]("Language Conversions", "Category 1");

Categories[Get]("Language Conversions");

Add an entry and retrieve its category.

Entries[Add]("My Integer Factors", "ifactors(%EXPR)", integer, category="Category 2"):

Categories[Get]("My Integer Factors");