Tblake,
I got the same kit a while ago from a well-meaning relative. The pot isn't bad believe it or not. It makes an excellent pot for small companion plants to go with bonsai. The one in my kit was black glzed stoneware.
The rest of the kit's contents ("soil"-although the soil in mine was a ring of some kind of polymer that holds water and seeds, scissors and instruction booklet) are useless.
That said, I would encourage you to cultivate the bonsai gift thing wiht the people that gave you the kit
They know you're interested. Let them know the gift was appreciated (as it should be--they tried after all) by all means.
After that, it might not hurt to show the giver what "real" bonsai looks like, what real pots and tools and books and other stuff looks like and what you're looking for.
I got several "lame" bonsai gifts from my relatives and spouse when I started.
However, my wife now has a better "bonsai eye" than me and knows the
publisher of "bonsai Today" pretty well, since she's ordered so much stuff from them over the years. She knows which pots and books I have. She knows which one's I'm searching for--and unfortunately--how much some of this stuff costs ;-)