This page shows the (new) regulations for students that entered Engineering from 2020, and not doing a Conjoint degree.
Where it says Core or GEN ED, you must do both; one in each semester; you choose which semester you enrol in each course. For example, you can choose to take ENGGEN 115 (core course) in Semester 1 and do your Gen Ed course in Semester 2, or vice versa.