I'm a Western Front guy, but if you're looking for the nitty gritty details, I suggest looking at the official history: Military Operations 1915: Gallipoli. Vol. II: May 1915 to the Evacuation.

I haven't read this volume, but I've read the editions for France and Belgium. They're rich in operational details and still historians' go-to sources for operational factoids. The Gallipoli volumes are by a different author, but I expect much of the same, so I think that'd be a good starting point.

The first volume is available at archive.org. I don't see the second volume there, but I'm sure you can track down a PDF online somewhere.

If you want to go further, I recommend getting into some of The National Archives (TNA) official records. Over the past few years, TNA has digitized a ton of its First World War collections, and you can purchase many online. As long as you know what unit or formation you're looking for (information you can get from the official history), you can find the files in the war diaries at the TNA (the WO 95 series). Here's a link to the Gallipoli catalogue.