Gili Islands are technically a part of Lombok, but that said there are boats serving to Gili Islands from Bali directly and there are different boats connecting Bali to Lombok. If you are looking for remote islands with less tourist, no motor vehicles though more sparse in terms of tourist attractions then Gili Islands are for you, check out which Gili Islands to go too if you are wondering (yet another question!). Else if you want to have more choices, there are actually many things to do in Lombok itself, besides just diving and beaches. Both places will give you many options on diving and beautiful beaches.
Also, if you are heading to Gili Islands, check out yet another question – Which Gili Islands is for you?
Either way, head on to our Lombok and Gili Islands Travel Guide to learn more. Enjoying both of them is possible!