Hello Mitch,
>> Does it have the ability to run the particular report, and then look for particular values in a certain column of the generated crystal report?
>>Or do I somehow connect it directly to my database and pass a particular Query and check the result?
TestComplete does not have special support for Crystal Reports, and as far as we know, there is no direct way to access fields inside report forms.
However TestComplete can http://support.smartbear.com/viewarticle/32662/ - connect to, read/write/validate data, make queries, execute stored procedures, and so forth. So, two datasets can be checked for equality from tests.
Moreover, with TestComplete's http://support.smartbear.com/viewarticle/33018/ you can verify data (against the baseline copy or against another database) in a visual manner, without need to dig into coding. See http://support.smartbear.com/viewarticle/32628/ to learn more.
Regards.