From what I see, in v2 of GMaps API there was a property \"buttons\" of the InfoWindow object that one could define in a way that given InfoWindow has no close button:
To extend on Louis Moore's answer, you can also center the text after removing the close button:
.gm-style-iw + div {display: none;} .gm-style-iw {text-align:center;}
Without Centering:
With Centering: