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A quick look at Title 8, Section 1325 of the U.S. Code shows this to be false...
The law...
TITLE 8 > CHAPTER 12 > SUBCHAPTER II > Part VIII > § 1325 (Improper entry by alien) (b)
(b) Improper time or place; civil penalties
Any alien who is apprehended while entering (or attempting to enter) the United States at a time or place other than as designated by immigration officers shall be subject to a civil penalty of— (1) at least $50 and not more than $250 for each such entry (or attempted entry); or
(2) twice the amount specified in paragraph (1) in the case of an alien who has been previously subject to a civil penalty under this subsection.
Civil penalties under this subsection are in addition to, and not in lieu of, any criminal or other civil penalties that may be imposed.

And what she isn't saying...

IMMIGRATION LAW & POLICY
Arrest and Detention
Entering the United States without inspection is a misdemeanor criminal offense, but the offense is completed once an individual has entered the country. Because many states, such as California, do not authorize police to make arrests for misdemeanors that were not committed in their presence, many police who work in the interior of the United States cannot make arrests for the misdemeanor violation of entry without inspection, which is committed only at the border. Gonzalez v. City of Peoria. Being present in the U.S. following an illegal entry, or after overstaying a nonimmigrant visa, generally is not a criminal violation, but rather a civil immigration violation.

She's weaseled her way around saying it's a criminal offense.