根据以下条件为一次旅行计划制定一个详细的日程表：
目的地：巴塞罗那
旅行时间：7天
日期：6月15日至6月21日
预算：5000元
兴趣爱好：历史文化、美食、购物、海滩
Day 1: Arrival in Barcelona, check-in hotel, explore Gothic Quarter
Day 2: Visit La Sagrada Familia and Park Guell, try local tapas for lunch
Day 3: Day trip to Montserrat, visit the monastery and hike in the surrounding area
Day 4: Explore Raval neighborhood, visit Picasso Museum and La Boqueria Market, try some local cuisine
Day 5: Relax at Barceloneta Beach, or take a short boat ride to nearby beaches
Day 6: Shop for souvenirs or visit local boutiques, explore El Born neighborhood
Day 7: Final day in Barcelona, visit Casa Batllo or Casa Mila, enjoy a farewell dinner

Note: It's important to keep track of expenses to stay within the budget. It's also recommended to purchase tickets in advance for popular attractions to avoid long lines.