A Swedish massage can be slow and gentle, or vigorous and bracing, depending on the therapist's personal style and what he or she is trying to achieve. To get an idea of what it's like, you can watch this video of a Swedish massage.
If you want deeper work and can tolerate more pressure to get relief from chronic muscle pain, it's better to book a deep tissue massage, which is another form of Swedish massage. If you have pain, it will likely take a series of massages to get results.