The Inkwell puzzles (https://squares.io/p/inkwell) are generally fairly easy (usually around NYT Tuesday level). If you need easier than that, you might have to search for puzzle archives. I remember the old yahoo/crosssynergy puzzles were quite easy.

Also, ask a friend to help! Two beginners can solve harder puzzles than either can individually, since you get the union of your trivia knowledge and also two brains thinking of different sorts of wordplay or cluing angles.