As I know, iOS has a unique default marker presenting the user location (Marker that flashes some blue color)
Here’s a picture: 
Is there something like it I can do in Android?
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You will have to extent the class MyLocationOverlay and override the drawMyLocation method.
Excerpt from Android Docs:
drawMyLocation –
Draw the “my location” dot. By default, draws an animated “blue dot” asset, possibly surrounded by an outlining blue disk to represent accuracy. Also, if the user’s position moves near the edge of the screen, and we’ve been given a MapController in our constructor, we’ll scroll to recenter the new reading.