The New Gloucester Farmers’ Market at Connemara Farm, 37 Peacock Hill Road, behind Mario’s Pizza. will begin its second season from 3 to 7 p.m. Tuesday, June 4, rain or shine. The market offers farm-fresh local produce and home goods. Throughout the summer, the market will host live music and artisan demonstrations, book-signings, visiting farm animals and an antique car show. There will be raffles weekly. Check the calendar for upcoming events by visiting www.newgloucesterfarmersmarket.com. A shopper is pictured at last year’s market.