The bottom line is that the accession numbers of your results will have full-length sequences with the start codon included and the stop codon implied, so you don't need to check to make sure that they're there.
This works in theory, but not always in practice. The absence of stop codon from translation doesn't mean there is one in the sequence. It could be a partial sequence, so the translation just stops because the sequence runs out.
A start codon could be a GTG (normally codes for valine) in many GC-rich bacteria, but it is translated as methionine. Or it can be a TTG (normally leucine) in AT-rich microbes. A starting methionine in protein sequence is not a guarantee of an ATG codon. The only way to know for sure that a protein sequence is complete and has both start and stop codons is to look back into DNA from which the translation was made.
Since input to blastp is protein sequence it will not have codons but amino acids. You will not see a stop codon but you might look for the initial Methionine (although not necessarily).
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