There are 10 ATMs on Gili Trawangan, but that's it. Exchange rates offered by moneychangers are noticeably poorer than on the mainland. Credit cards are accepted by some of the more upmarket places and all dive shops; some will also arrange credit card advances, but with hefty fees in the order of 7-10%.
Shopping opportunities are very limited. There are plenty of kiosks offering tourist staples such as drinks, basic cosmetics, suntan lotion and such, but anything even remotely unusual is best brought with you.