There are no rules or laws governing carry at the Capitol Building. I have often stated that The Capitol should be THE PLACE to open carry in Utah! :celebrate
With that said, you mentioned that you will be chaperoning school children. Utah law law is not written in our favor when it comes to "school zones". Note the parts in red. While I doubt the State Troopers will hassle anyone for open carry, a concealed firearm permit is necessary to avoid violating your temporary "school zone".
76-3-203.2. Definitions -- Use of dangerous weapon in offenses committed on or about school premises -- Enhanced penalties.
(1) (a) As used in this section and Section 76-10-505.5, "on or about school premises" means any of the following:
(i) in a public or private elementary, secondary, or on the grounds of any of those schools;
(ii) in a public or private vocational school or postsecondary institution or on the grounds of any of those schools or institutions;
(iii) in those portions of any building, park, stadium, or other structure or grounds which are, at the time of the act, being used for an activity sponsored by or through a school or institution under Subsections (1)(a)(i) and (ii);
(iv) in or on the grounds of a preschool or child-care facility; and
(v) within 1,000 feet of any structure, facility, or grounds included in Subsections (1)(a)(i), (ii), (iii), and (iv).
(b) As used in this section:
(i) "Dangerous weapon" has the same definition as in Section 76-1-601.
(ii) "Educator" means any person who is employed by a public school district and who is required to hold a certificate issued by the State Board of Education in order to perform duties of employment.
(iii) "Within the course of employment" means that an educator is providing services or engaging in conduct required by the educator's employer to perform the duties of employment.
(2) Any person who, on or about school premises, commits any offense and uses or threatens to use a dangerous weapon, as defined in Section 76-1-601, in the commission of the offense is subject to an enhanced degree of offense as provided in Subsection (4).
(3) (a) Any person who commits an offense against an educator when the educator is acting within the course of employment is subject to an enhanced degree of offense as provided in Subsection (4).
(b) As used in Subsection (3)(a), "offense" means:
(i) an offense under Title 76, Chapter 5, Offenses Against The Person; and
(ii) an offense under Title 76, Chapter 6, Part 3, Robbery.
(4) If the trier of fact finds beyond a reasonable doubt that the defendant, while on or about school premises, commits any offense and in the commission of the offense uses or threatens to use a dangerous weapon, or that the defendant committed an offense against an educator when the educator was acting within the course of his employment, the enhanced penalty for a:
(a) class B misdemeanor is a class A misdemeanor;
(b) class A misdemeanor is a third degree felony;
(c) third degree felony is a second degree felony; or
(d) second degree felony is a first degree felony.
(5) The enhanced penalty for a first degree felony offense of a convicted person:
(a) is imprisonment for a term of not less than five years and which may be for life, and imposition or execution of the sentence may not be suspended unless the court finds that the interests of justice would be best served and states the specific circumstances justifying the disposition on the record; and
(b) is subject also to the dangerous weapon enhancement provided in Section 76-3-203.8
Here is my family and carrying openly with Utah's top cop, Mark Shurtleff on the steps of The Capitol building.