Ryn Weaver – Pierre lyrics

The main refrain of this song is "telling telling telling you lies" which gives some insight into all the other lines. "Danced in the desert in the pouring rain" could be an outright lie, something the singer says to her old lover to let him know she's making the rest of it up. Or it could be a reference to how she felt--she was so happy she felt as if, despite the "desert" of the past, she's now awash with love--but either way, her intention is deceitful. Because when her old guy calls her up, she's going to call his bluff (answer questions he actually doesn't want to know the answers to, due to his own unresolved feelings for her) and this is when she tells him those lies. She's describing all her new lovers--who might be real or imaginary, but she definitely lies when she pretends to be in love with each new guy--to hurt the guy who she's not with. She might even be lying to herself rather than him, and only figuring it out when each relationship fizzles out.
"Cause I wouldn't be with you"--this refrain is also something like a lie. More accurately, she's NOT with him, so she's claiming she wouldn't be with him even if she could. She wants to believe she's choosing not to be with him.
"He's kinda quiet but his body ain't"--this is a bass player, a mudician, someone who speaks through physical actions more than words. He plays music, he's romantically or sexually passionate, rather than saying much. Telling your ex-lover that your new lover is quiet but his body ain't (especially using ain't instead of isn't, which makes it sound more sexual somehow) is like saying "we don't talk much, but boy do we have sex a lot".
"Pierre"--we get told his name so we know he's French. We understand that this guy, like the bass player, speaks with his body and heart, not his broken English.
"Eyes of sky and ocean blue"--most people with blue eyes have a mix of different blue shades, including Pierre. Sky blue is usually a clear and bright or light blue, whereas ocean blue is darker and might have other colours (especially green or grey) mixed in. Pierre has beautiful eyes, or at least, the singer wants her ex to believe that. Just like she wants him to believe she's happy without him.