Since they are primarily corrosives, most mineral acids have only acute effects. Although sulfuric acid is very corrosive, the concentration is an important factor. 1M is diluted quite a bit, so not nearly as hazardous as the concentrated stuff. If you don't see evidence of chemical burns immediately, you will most likely have no adverse reaction. My advice to people who have a small exposure to dilute mineral acids or bases (excepting certain acids that are also toxic like HF) is to rinse your skin extensively and monitor for 24 hours. If you experience anything concerning (bad rash, blisters, etc.), then you should seek a medical professional for burn treatment.
Although diluted acids are not especially hazardous to handle, it is still good practice to wear lab coats, gloves, and goggles when handling them.