Answer: You are right in that it takes a blossom to get a berry.
Most types of strawberries bloom in early spring and produce only one spring crop of berries. Other varieties, called "everbearing" will produce two or possibly more crops depending on the weather and growing conditions. After flowering and fruiting it is normal for the plants to spread by runners. You may wish to remove some of these in order to conserve the strength of the basic planting in order to get a larger yield next year. (New plants often have a small yield.) However, without knowing which specific variety you have, it is unfortunately impossible to tell you what to expect from your plants.
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