If you bought it at a grocery store or at a florist, chances are excellent that it is not a remontant hydrangea and those blooms will be the only ones until next year. New flower buds will develop around July if this plant blooms once a year. If you bought it at a plant nursery, Lowes or HD then it can go either way, meaning it may produce blooms once or twice a year... If it produces blooms twice a year, it will soon develop invisible flower buds at the ends of the new stems that it grew this year. Then after a pause, the flower buds will open and resemble little broccoli heads. After the broccoli grows a little larger in size, it will start to resemble the blooms that you are now seeing.
Hydrangea stems have pores (the dots) and the number varies from one variety to another. The pores are called lenticels and appear as either brown dots, red dots, purple or black dots in the stems. The new growth from old stems is always green-ish but changes color throughout the year. As the plant begins the process of hardening off for winter, the color of the stems will change from shades of green to some sandy or brownish or greyish colors in the Fall. The bottom parts of the stems are the oldest parts of the stem. these brown parts were once green but, with the years, they changed and are now gray or brown.