As a white person, there are many things you can do to help further the BLM movement. Although, I feel that one of the most important things we can do is educate ourselves. Here is a list of works you should read to educate yourself on racial inequality.
1) "So You Want to Talk About Race" by Ijeoma Oluo
2) "How to Be an Antiracist" by Ibram X. Kendi
3) "Thinking About Race" by Naomi Zack
4) "American Poets For My Past and Future Assassin" by Terrance Hayes
5) "Me and White Supremacy" by Layla F. Saad
6) "Black Feminist Thought" by Patricia Hill Collins
7) "Heavy: An American Memoir" by Kiese Laymon
8) "The Hate U Give" by Angie Thomas
9) "Dear Martin" by Nic Stone
10) "I Know Why the Caged Bird Sings" by Maya Angelou
11) "White Fragility: Why It's So Hard for White People to Talk About Racism" by Robin DiAngelo
12) "Between the World and Me" by Ta-Nehisi Coates
13) "Beloved" by Toni Morrison
14) "The Color of Law" by Richard Rothstein
15) "Women, Race, and Class" by Angela Y. Davis
16) "The New Jim Crow: Mass Incarceration In The Age of Colorblindness" by Michelle Alexander
17) "Six Ways Asian-Americans Can Tackle Anti-Blackness in Their Families" by Kim Tran
18) "Why I'm No Longer Talking To White People About Race" by Reni Eddo-Lodge
19) "Divided Sisters" by Midge Wilson and Kathy Russell
20) "The Bluest Eye" by Toni Morrison
21) "Their Eyes Were Watching God" by Zora Neale Hurston
22) "They Can't Kill Us All" by Wesley Lowery
23) "Fatal Invention" by Dorothy Roberts
24) "Locking Up Our Own" by James Forman
25) "The Miner's Canary" by Lani Guiner and Gerald Torres
26) "The Wretched of the Earth" by Frantz Fanon
27) "Racism without Racists: Colorblind Racism and the Persistence of Racial Inequality in the United States" by Eduardo Bonilla-Silva
28) "Two Faced Racism: Whites in the Backstage and Frontstage" by Leslie Picca and Joe Feagin
29) "How to Be Less Stupid About Race: On Racism, White Supremacy and the Racial Divide" by Crystal Fleming
30) "The Ethnic Project: Transforming Racial Fiction into Ethnic Factions" by Vilna Bashi Treitler
31) "Race and Racisms: A Critical Approach" by Tanya Golash Boza
32) "Racist America: Roots, Current Realities, and Future Reparations" by Joe Feagin
33) "White Rage; the Unspoken Truth of Our Racial Divide" by Carol Anderson
34) "Black Americans" by Alphonso Pinkney
35) "Black Wealth/White Wealth" by Melvin Oliver and Thomas Shapiro