Good answers here already, but I don't feel like they actually answer the question(s).
Can there be two bishops on white tiles?
Yes, there can. You can promote your pawn on g8 to a Bishop. Luckily you can use the dark-squared Bishop that has been captured, ready at hand at the top of your photo, for this.
Tony Ennis has summed up the only restrictions on promotion in his answer. If you still had both Bishops on the board, TonyK's answer explains how to deal with that logistically, so even in that case you could've had one dark-squared Bishop and two light-squared Bishops on the board.
If not can I get my queen killed and change my pawn to a queen and win the game
This question has two parts/misconceptions, I believe.
First of all, you need to promote the pawn immediately as it reaches the eighth rank. As soon as it set foot on g8, it must be promoted before your turn ends, and it can't stay a pawn on g8. Therefore, you can't get your Queen captured/"killed" and then promote your pawn afterwards.
Secondly, just like you can have two light-squared Bishops on the board, you can also have two Queens on the board. If I understand you correctly, you're proposing that you sacrifice your Queen in order to be able to promote the pawn to a new Queen. This is not necessary; you can just promote to a second Queen right away. Again, like TonyK said, the only problem with that is logistics: If you don't have a second Queen piece at hand, stop the clock and look for one, or use an upturned Rook, or something else. Seeing as promoting to a Queen there immediately wins the game by mate, however, it's probably not necessary to do that.