Options
eSIM: cheapest and easiest if your phone supports it. Install it before you fly.
Tourist SIM: KT, SK Telecom and LG U+ have counters in Incheon's arrivals hall.
Pocket Wi-Fi: good for families or a barkada sharing one connection.
Free Wi-Fi
Seoul's public Wi-Fi works at subway stations, parks and on many buses, and most cafes have free Wi-Fi. It's handy, but get data for navigating on the move.