Good question! My first thought was table, but seeing your question I realized it could actually mean both!

Yet it is unlikely we would refer to the meal being full of fruit like that. The primary meaning of plină would be in a physical sense, reason for which my first thought was table instead of meal.

But back to your question, context will help you know whether it's meal or table.

Yes, exactly, "masă / masa plină" = "a / the full table".