The most important thing is to listen to your body! The actual ultherapy procedure typically causes minimal to no downtime. I had mine at 9 in the morning and was back at work by 11. Some patients are more comfortable during the procedure if they take anti-anxiety medication and pain pills. These medications can "wipe you out" until the next day so you'll want to take it easy if you are premedicated. If a nerve block is performed, you may get bruising. If bruising occurs, I recommend avoiding exercise for a day, applying ice, and covering with makeup. If the procedure causes discomfort or tightness, reduce your exercise routine for a few days until you are more comfortable.
Ulthera is a non-invasive procedure that uses highly focused ultrasound to stimulate collagen regeneration under the skin for a lifting effect. There may be some minor soreness afterwards but it shouldn't prevent you from exercising. It may be a good idea to take a break for a day or two however.