I haven't googled the "Tristar" Strawberry, but I can't think of any reason why a Strawberry
plant wouldn't produce in the first year...
...the "life span" of a Strawberry
plant is only about 3 years! (The
plant itself won't necessarily die off, but it will slow its production markedly after the 3rd year.) Terry is right... pick those first blossoms off, & that will force energy back into the
plant & you should get a better yield.
Strawberry
plants are a garden's version of rabbits! Picking those first
flowers isn't going to make any difference (other than strengthening the
plant), because most of those blossoms will fall off & NOT turn into berries, as there aren't many insects out yet anyway, to pollinate them.
The only reason a
plant wouldn't produce berries in its "first year" would be because it's a brand new
plant that has formed from a runner vine (sent out by the main
plant), but that's not considered its first year. "First year"
plants are ones that have set roots down... usually the year
after they form on the runner.