Being beguiled is like being captivated, charmed, delighted, enthralled, or entranced. When you're beguiled, you really like what you see.
Being beguiled is a nice feeling: it means you are totally absorbed by something in an enjoyable way. You can be beguiled by a sporting event, a movie, or a concert. You could be beguiled by another person who is attractive or clever. When you're beguiled, you like what you see so much that you can't take your eyes off it — almost like being in a trance.