Oh sorry, only just noticed the "June-July", when you said summer i thought you meant Perth summer, whoops! Yes, probably not swimming weather I'm afraid.
For breweries, I'm a fan of Rocky Ridge in Busselton, and Gage Roads in Fremantle is right on the river mouth so worth a visit at sunset. Most breweries are very family friendly!
Giants Cave and Calgardup cave are the best imo. For nature stuff closer to the city, check out Kings Park, Herdsman Lake, and Bold Park.
No trams here but the train system is pretty great i reckon.
She munch on grass 😍